{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "54b96223",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "50443f6e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Yuner ZHU\\AppData\\Local\\Temp\\ipykernel_3912\\890928813.py:1: DtypeWarning: Columns (5) have mixed types. Specify dtype option on import or set low_memory=False.\n",
      "  regression_table=pd.read_csv('regression_table_anonymous_final.csv',index_col=0)\n"
     ]
    }
   ],
   "source": [
    "regression_table=pd.read_csv('regression_table_anonymous_final.csv',index_col=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "63b8bf77",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['Article ID', 'Year', 'Journal', 'Journal Impact Factor',\n",
       "       'Journal_Rank', 'Citations_Received', 'Article_Age', 'FA_Female',\n",
       "       'FA_Ethnicity', 'FA_European', 'FA_Asian', 'FA_Slavic',\n",
       "       'FA_Hispanic/Latino', 'FA_African', 'FA_Jewish', 'FA_Other', 'FA_South',\n",
       "       'FA_Author_Publication', 'FA_Author_Reputation', 'Team_Female',\n",
       "       'Team_European', 'Team_Asian', 'Team_Slavic', 'Team_Hispanic/Latino',\n",
       "       'Team_African', 'Team_Jewish', 'Team_Other', 'Team_South',\n",
       "       'Team_Author_Publication', 'Team_Author_Reputation', 'Team_Size',\n",
       "       'Cross_Ethnic', 'Cross_Regional', 'International', 'Mixed_Gender',\n",
       "       'Journal_Prestige', 'Cited_References', 'Cited_Outgroup', 'T1', 'T2',\n",
       "       'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13',\n",
       "       'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21', 'T22', 'T23',\n",
       "       'T24', 'T25', 'T26', 'T27', 'T28', 'T29', 'T30', 'T31', 'T32', 'T33',\n",
       "       'T34', 'T35', 'T36', 'T37', 'T38', 'T39', 'T40', 'T41', 'T42', 'T43',\n",
       "       'T44', 'T45', 'T46', 'T47', 'T48', 'T49', 'Const',\n",
       "       'FA_Affliation_Weight', 'Team_Affliation_Weight', 'Top10_Inst',\n",
       "       'Top20_Inst', 'Top30_Inst', 'Top40_Inst', 'Top50_Inst', 'Top100_Inst'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "regression_table.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "35fd26cf-94e7-444a-b60e-32a1f232e003",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Article ID</th>\n",
       "      <th>Year</th>\n",
       "      <th>Journal</th>\n",
       "      <th>Journal Impact Factor</th>\n",
       "      <th>Journal_Rank</th>\n",
       "      <th>Citations_Received</th>\n",
       "      <th>Article_Age</th>\n",
       "      <th>FA_Female</th>\n",
       "      <th>FA_Ethnicity</th>\n",
       "      <th>FA_European</th>\n",
       "      <th>...</th>\n",
       "      <th>T49</th>\n",
       "      <th>Const</th>\n",
       "      <th>FA_Affliation_Weight</th>\n",
       "      <th>Team_Affliation_Weight</th>\n",
       "      <th>Top10_Inst</th>\n",
       "      <th>Top20_Inst</th>\n",
       "      <th>Top30_Inst</th>\n",
       "      <th>Top40_Inst</th>\n",
       "      <th>Top50_Inst</th>\n",
       "      <th>Top100_Inst</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2020</td>\n",
       "      <td>PUBLIUS-THE JOURNAL OF FEDERALISM</td>\n",
       "      <td>2.472</td>\n",
       "      <td>Q2</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>Anglo-Saxon</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.055046</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.000644</td>\n",
       "      <td>0.000644</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>2020</td>\n",
       "      <td>CANADIAN JOURNAL OF POLITICAL SCIENCE-REVUE CA...</td>\n",
       "      <td>1.150</td>\n",
       "      <td>Q4</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>Hispanic/Latino</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.111467</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.002277</td>\n",
       "      <td>0.002277</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>2020</td>\n",
       "      <td>ELECTORAL STUDIES</td>\n",
       "      <td>2.070</td>\n",
       "      <td>Q3</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>Anglo-Saxon</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.098998</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.001655</td>\n",
       "      <td>0.001655</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>2020</td>\n",
       "      <td>MONTHLY REVIEW-AN INDEPENDENT SOCIALIST MAGAZINE</td>\n",
       "      <td>1.141</td>\n",
       "      <td>Q4</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>Anglo-Saxon</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.058598</td>\n",
       "      <td>1.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>6</td>\n",
       "      <td>2020</td>\n",
       "      <td>ELECTORAL STUDIES</td>\n",
       "      <td>2.070</td>\n",
       "      <td>Q3</td>\n",
       "      <td>2.0</td>\n",
       "      <td>1</td>\n",
       "      <td>1.0</td>\n",
       "      <td>African</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.095093</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.004149</td>\n",
       "      <td>0.004590</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>True</td>\n",
       "      <td>True</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 96 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Article ID  Year                                            Journal  \\\n",
       "0           0  2020                  PUBLIUS-THE JOURNAL OF FEDERALISM   \n",
       "1           1  2020  CANADIAN JOURNAL OF POLITICAL SCIENCE-REVUE CA...   \n",
       "2           2  2020                                  ELECTORAL STUDIES   \n",
       "3           4  2020   MONTHLY REVIEW-AN INDEPENDENT SOCIALIST MAGAZINE   \n",
       "4           6  2020                                  ELECTORAL STUDIES   \n",
       "\n",
       "   Journal Impact Factor Journal_Rank  Citations_Received  Article_Age  \\\n",
       "0                  2.472           Q2                 1.0            1   \n",
       "1                  1.150           Q4                 0.0            1   \n",
       "2                  2.070           Q3                 1.0            1   \n",
       "3                  1.141           Q4                 0.0            1   \n",
       "4                  2.070           Q3                 2.0            1   \n",
       "\n",
       "   FA_Female     FA_Ethnicity  FA_European  ...       T49  Const  \\\n",
       "0        0.0      Anglo-Saxon            0  ...  0.055046    1.0   \n",
       "1        0.0  Hispanic/Latino            0  ...  0.111467    1.0   \n",
       "2        0.0      Anglo-Saxon            0  ...  0.098998    1.0   \n",
       "3        0.0      Anglo-Saxon            0  ...  0.058598    1.0   \n",
       "4        1.0          African            0  ...  0.095093    1.0   \n",
       "\n",
       "   FA_Affliation_Weight  Team_Affliation_Weight  Top10_Inst  Top20_Inst  \\\n",
       "0              0.000644                0.000644       False       False   \n",
       "1              0.002277                0.002277       False       False   \n",
       "2              0.001655                0.001655       False       False   \n",
       "3                   NaN                     NaN       False       False   \n",
       "4              0.004149                0.004590       False       False   \n",
       "\n",
       "   Top30_Inst  Top40_Inst  Top50_Inst  Top100_Inst  \n",
       "0       False       False       False        False  \n",
       "1       False       False       False         True  \n",
       "2       False       False       False        False  \n",
       "3       False       False       False        False  \n",
       "4        True        True        True         True  \n",
       "\n",
       "[5 rows x 96 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "regression_table.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "66c2c8d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>    <td>Citations_Received</td> <th>  R-squared:         </th> <td>   0.428</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                    <td>OLS</td>        <th>  Adj. R-squared:    </th> <td>   0.428</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>              <td>Least Squares</td>   <th>  F-statistic:       </th> <td>   732.8</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>              <td>Sat, 28 Sep 2024</td>  <th>  Prob (F-statistic):</th>  <td>  0.00</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                  <td>22:21:26</td>      <th>  Log-Likelihood:    </th> <td> -36747.</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>       <td> 68558</td>       <th>  AIC:               </th> <td>7.364e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>           <td> 68487</td>       <th>  BIC:               </th> <td>7.428e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>               <td>    70</td>       <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>       <td>nonrobust</td>     <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "            <td></td>               <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Const</th>                 <td>    0.6123</td> <td>    0.119</td> <td>    5.127</td> <td> 0.000</td> <td>    0.378</td> <td>    0.846</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Female</th>             <td>    0.0393</td> <td>    0.004</td> <td>   10.993</td> <td> 0.000</td> <td>    0.032</td> <td>    0.046</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_European</th>           <td>   -0.0184</td> <td>    0.004</td> <td>   -4.572</td> <td> 0.000</td> <td>   -0.026</td> <td>   -0.011</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Asian</th>              <td>   -0.0673</td> <td>    0.007</td> <td>   -9.408</td> <td> 0.000</td> <td>   -0.081</td> <td>   -0.053</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Slavic</th>             <td>   -0.0733</td> <td>    0.007</td> <td>   -9.949</td> <td> 0.000</td> <td>   -0.088</td> <td>   -0.059</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Hispanic/Latino</th>    <td>   -0.0746</td> <td>    0.007</td> <td>  -10.809</td> <td> 0.000</td> <td>   -0.088</td> <td>   -0.061</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_African</th>            <td>   -0.0614</td> <td>    0.009</td> <td>   -7.058</td> <td> 0.000</td> <td>   -0.078</td> <td>   -0.044</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Jewish</th>             <td>   -0.0749</td> <td>    0.011</td> <td>   -7.122</td> <td> 0.000</td> <td>   -0.095</td> <td>   -0.054</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Other</th>              <td>   -0.0348</td> <td>    0.009</td> <td>   -3.806</td> <td> 0.000</td> <td>   -0.053</td> <td>   -0.017</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_South</th>              <td>   -0.0240</td> <td>    0.006</td> <td>   -4.002</td> <td> 0.000</td> <td>   -0.036</td> <td>   -0.012</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Mixed_Gender</th>          <td>    0.0051</td> <td>    0.005</td> <td>    0.983</td> <td> 0.325</td> <td>   -0.005</td> <td>    0.015</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Ethnic</th>          <td>    0.0161</td> <td>    0.005</td> <td>    3.235</td> <td> 0.001</td> <td>    0.006</td> <td>    0.026</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Regional</th>        <td>   -0.0613</td> <td>    0.011</td> <td>   -5.417</td> <td> 0.000</td> <td>   -0.083</td> <td>   -0.039</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>International</th>         <td>    0.0875</td> <td>    0.006</td> <td>   14.771</td> <td> 0.000</td> <td>    0.076</td> <td>    0.099</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_Outgroup</th>        <td>    0.0635</td> <td>    0.009</td> <td>    6.755</td> <td> 0.000</td> <td>    0.045</td> <td>    0.082</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Size</th>             <td>    0.0459</td> <td>    0.003</td> <td>   15.569</td> <td> 0.000</td> <td>    0.040</td> <td>    0.052</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_References</th>      <td>    0.0030</td> <td> 6.14e-05</td> <td>   49.133</td> <td> 0.000</td> <td>    0.003</td> <td>    0.003</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Reputation</th>  <td>    0.0018</td> <td> 4.83e-05</td> <td>   37.987</td> <td> 0.000</td> <td>    0.002</td> <td>    0.002</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Publication</th> <td>    0.0099</td> <td>    0.001</td> <td>   14.810</td> <td> 0.000</td> <td>    0.009</td> <td>    0.011</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Article_Age</th>           <td>    0.0293</td> <td>    0.000</td> <td>   61.406</td> <td> 0.000</td> <td>    0.028</td> <td>    0.030</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Journal_Prestige</th>      <td>    0.0125</td> <td>    0.000</td> <td>  115.187</td> <td> 0.000</td> <td>    0.012</td> <td>    0.013</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Affliation_Weight</th>  <td>   13.8918</td> <td>    0.709</td> <td>   19.585</td> <td> 0.000</td> <td>   12.502</td> <td>   15.282</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T1</th>                    <td>   -1.0720</td> <td>    0.183</td> <td>   -5.865</td> <td> 0.000</td> <td>   -1.430</td> <td>   -0.714</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T2</th>                    <td>   -1.5278</td> <td>    0.185</td> <td>   -8.243</td> <td> 0.000</td> <td>   -1.891</td> <td>   -1.165</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T3</th>                    <td>   -1.8689</td> <td>    0.218</td> <td>   -8.574</td> <td> 0.000</td> <td>   -2.296</td> <td>   -1.442</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T4</th>                    <td>   -0.7629</td> <td>    0.175</td> <td>   -4.371</td> <td> 0.000</td> <td>   -1.105</td> <td>   -0.421</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T5</th>                    <td>   -1.2101</td> <td>    0.193</td> <td>   -6.256</td> <td> 0.000</td> <td>   -1.589</td> <td>   -0.831</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T6</th>                    <td>   -0.5001</td> <td>    0.203</td> <td>   -2.464</td> <td> 0.014</td> <td>   -0.898</td> <td>   -0.102</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T7</th>                    <td>   -1.3004</td> <td>    0.190</td> <td>   -6.849</td> <td> 0.000</td> <td>   -1.673</td> <td>   -0.928</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T8</th>                    <td>   -1.1009</td> <td>    0.168</td> <td>   -6.553</td> <td> 0.000</td> <td>   -1.430</td> <td>   -0.772</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T9</th>                    <td>   -1.0369</td> <td>    0.185</td> <td>   -5.598</td> <td> 0.000</td> <td>   -1.400</td> <td>   -0.674</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T10</th>                   <td>   -1.8515</td> <td>    0.194</td> <td>   -9.536</td> <td> 0.000</td> <td>   -2.232</td> <td>   -1.471</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T11</th>                   <td>   -1.4075</td> <td>    0.190</td> <td>   -7.405</td> <td> 0.000</td> <td>   -1.780</td> <td>   -1.035</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T12</th>                   <td>   -0.7615</td> <td>    0.198</td> <td>   -3.846</td> <td> 0.000</td> <td>   -1.150</td> <td>   -0.373</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T13</th>                   <td>   -0.5794</td> <td>    0.175</td> <td>   -3.316</td> <td> 0.001</td> <td>   -0.922</td> <td>   -0.237</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T14</th>                   <td>   -1.4280</td> <td>    0.197</td> <td>   -7.261</td> <td> 0.000</td> <td>   -1.813</td> <td>   -1.043</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T15</th>                   <td>   -0.0060</td> <td>    0.182</td> <td>   -0.033</td> <td> 0.974</td> <td>   -0.363</td> <td>    0.351</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T16</th>                   <td>   -1.1616</td> <td>    0.169</td> <td>   -6.869</td> <td> 0.000</td> <td>   -1.493</td> <td>   -0.830</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T17</th>                   <td>   -0.6024</td> <td>    0.187</td> <td>   -3.213</td> <td> 0.001</td> <td>   -0.970</td> <td>   -0.235</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T18</th>                   <td>    0.2302</td> <td>    0.176</td> <td>    1.311</td> <td> 0.190</td> <td>   -0.114</td> <td>    0.574</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T19</th>                   <td>   -0.4624</td> <td>    0.174</td> <td>   -2.657</td> <td> 0.008</td> <td>   -0.804</td> <td>   -0.121</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T20</th>                   <td>   -1.0636</td> <td>    0.210</td> <td>   -5.055</td> <td> 0.000</td> <td>   -1.476</td> <td>   -0.651</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T21</th>                   <td>   -0.5275</td> <td>    0.177</td> <td>   -2.978</td> <td> 0.003</td> <td>   -0.875</td> <td>   -0.180</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T22</th>                   <td>   -1.1124</td> <td>    0.195</td> <td>   -5.699</td> <td> 0.000</td> <td>   -1.495</td> <td>   -0.730</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T23</th>                   <td>   -0.1904</td> <td>    0.176</td> <td>   -1.083</td> <td> 0.279</td> <td>   -0.535</td> <td>    0.154</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T24</th>                   <td>   -0.3149</td> <td>    0.178</td> <td>   -1.774</td> <td> 0.076</td> <td>   -0.663</td> <td>    0.033</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T25</th>                   <td>   -0.6895</td> <td>    0.191</td> <td>   -3.601</td> <td> 0.000</td> <td>   -1.065</td> <td>   -0.314</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T26</th>                   <td>   -0.5272</td> <td>    0.147</td> <td>   -3.579</td> <td> 0.000</td> <td>   -0.816</td> <td>   -0.238</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T27</th>                   <td>   -0.9345</td> <td>    0.200</td> <td>   -4.676</td> <td> 0.000</td> <td>   -1.326</td> <td>   -0.543</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T28</th>                   <td>   -0.1950</td> <td>    0.186</td> <td>   -1.049</td> <td> 0.294</td> <td>   -0.560</td> <td>    0.169</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T29</th>                   <td>   -0.4558</td> <td>    0.198</td> <td>   -2.297</td> <td> 0.022</td> <td>   -0.845</td> <td>   -0.067</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T30</th>                   <td>   -0.6585</td> <td>    0.198</td> <td>   -3.333</td> <td> 0.001</td> <td>   -1.046</td> <td>   -0.271</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T31</th>                   <td>   -0.8740</td> <td>    0.182</td> <td>   -4.796</td> <td> 0.000</td> <td>   -1.231</td> <td>   -0.517</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T32</th>                   <td>   -0.3627</td> <td>    0.188</td> <td>   -1.929</td> <td> 0.054</td> <td>   -0.731</td> <td>    0.006</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T33</th>                   <td>   -0.5569</td> <td>    0.203</td> <td>   -2.738</td> <td> 0.006</td> <td>   -0.956</td> <td>   -0.158</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T34</th>                   <td>   -0.7492</td> <td>    0.181</td> <td>   -4.146</td> <td> 0.000</td> <td>   -1.103</td> <td>   -0.395</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T35</th>                   <td>   -0.0281</td> <td>    0.170</td> <td>   -0.166</td> <td> 0.868</td> <td>   -0.361</td> <td>    0.304</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T36</th>                   <td>   -0.9561</td> <td>    0.178</td> <td>   -5.376</td> <td> 0.000</td> <td>   -1.305</td> <td>   -0.607</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T37</th>                   <td>   -0.1883</td> <td>    0.177</td> <td>   -1.065</td> <td> 0.287</td> <td>   -0.535</td> <td>    0.158</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T38</th>                   <td>    0.3101</td> <td>    0.165</td> <td>    1.882</td> <td> 0.060</td> <td>   -0.013</td> <td>    0.633</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T39</th>                   <td>   -0.4470</td> <td>    0.212</td> <td>   -2.108</td> <td> 0.035</td> <td>   -0.863</td> <td>   -0.031</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T40</th>                   <td>   -0.2098</td> <td>    0.203</td> <td>   -1.032</td> <td> 0.302</td> <td>   -0.608</td> <td>    0.189</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T41</th>                   <td>   -0.0207</td> <td>    0.172</td> <td>   -0.120</td> <td> 0.904</td> <td>   -0.358</td> <td>    0.317</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T42</th>                   <td>   -0.7627</td> <td>    0.198</td> <td>   -3.854</td> <td> 0.000</td> <td>   -1.151</td> <td>   -0.375</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T43</th>                   <td>   -0.0290</td> <td>    0.182</td> <td>   -0.159</td> <td> 0.874</td> <td>   -0.386</td> <td>    0.328</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T44</th>                   <td>    0.0810</td> <td>    0.143</td> <td>    0.565</td> <td> 0.572</td> <td>   -0.200</td> <td>    0.362</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T45</th>                   <td>    0.4746</td> <td>    0.174</td> <td>    2.725</td> <td> 0.006</td> <td>    0.133</td> <td>    0.816</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T46</th>                   <td>   -0.1126</td> <td>    0.171</td> <td>   -0.658</td> <td> 0.510</td> <td>   -0.448</td> <td>    0.223</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T47</th>                   <td>   -0.3784</td> <td>    0.137</td> <td>   -2.763</td> <td> 0.006</td> <td>   -0.647</td> <td>   -0.110</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T48</th>                   <td>    0.2688</td> <td>    0.158</td> <td>    1.705</td> <td> 0.088</td> <td>   -0.040</td> <td>    0.578</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T49</th>                   <td>   -0.0502</td> <td>    0.143</td> <td>   -0.351</td> <td> 0.725</td> <td>   -0.330</td> <td>    0.230</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>313.852</td> <th>  Durbin-Watson:     </th> <td>   1.885</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.000</td>  <th>  Jarque-Bera (JB):  </th> <td> 425.227</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td>-0.051</td>  <th>  Prob(JB):          </th> <td>4.60e-93</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 3.372</td>  <th>  Cond. No.          </th> <td>3.40e+04</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.<br/>[2] The condition number is large, 3.4e+04. This might indicate that there are<br/>strong multicollinearity or other numerical problems."
      ],
      "text/latex": [
       "\\begin{center}\n",
       "\\begin{tabular}{lclc}\n",
       "\\toprule\n",
       "\\textbf{Dep. Variable:}          & Citations\\_Received & \\textbf{  R-squared:         } &     0.428   \\\\\n",
       "\\textbf{Model:}                  &         OLS         & \\textbf{  Adj. R-squared:    } &     0.428   \\\\\n",
       "\\textbf{Method:}                 &    Least Squares    & \\textbf{  F-statistic:       } &     732.8   \\\\\n",
       "\\textbf{Date:}                   &   Sat, 28 Sep 2024  & \\textbf{  Prob (F-statistic):} &     0.00    \\\\\n",
       "\\textbf{Time:}                   &       22:21:26      & \\textbf{  Log-Likelihood:    } &   -36747.   \\\\\n",
       "\\textbf{No. Observations:}       &         68558       & \\textbf{  AIC:               } & 7.364e+04   \\\\\n",
       "\\textbf{Df Residuals:}           &         68487       & \\textbf{  BIC:               } & 7.428e+04   \\\\\n",
       "\\textbf{Df Model:}               &            70       & \\textbf{                     } &             \\\\\n",
       "\\textbf{Covariance Type:}        &      nonrobust      & \\textbf{                     } &             \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lcccccc}\n",
       "                                 & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]}  \\\\\n",
       "\\midrule\n",
       "\\textbf{Const}                   &       0.6123  &        0.119     &     5.127  &         0.000        &        0.378    &        0.846     \\\\\n",
       "\\textbf{FA\\_Female}              &       0.0393  &        0.004     &    10.993  &         0.000        &        0.032    &        0.046     \\\\\n",
       "\\textbf{FA\\_European}            &      -0.0184  &        0.004     &    -4.572  &         0.000        &       -0.026    &       -0.011     \\\\\n",
       "\\textbf{FA\\_Asian}               &      -0.0673  &        0.007     &    -9.408  &         0.000        &       -0.081    &       -0.053     \\\\\n",
       "\\textbf{FA\\_Slavic}              &      -0.0733  &        0.007     &    -9.949  &         0.000        &       -0.088    &       -0.059     \\\\\n",
       "\\textbf{FA\\_Hispanic/Latino}     &      -0.0746  &        0.007     &   -10.809  &         0.000        &       -0.088    &       -0.061     \\\\\n",
       "\\textbf{FA\\_African}             &      -0.0614  &        0.009     &    -7.058  &         0.000        &       -0.078    &       -0.044     \\\\\n",
       "\\textbf{FA\\_Jewish}              &      -0.0749  &        0.011     &    -7.122  &         0.000        &       -0.095    &       -0.054     \\\\\n",
       "\\textbf{FA\\_Other}               &      -0.0348  &        0.009     &    -3.806  &         0.000        &       -0.053    &       -0.017     \\\\\n",
       "\\textbf{FA\\_South}               &      -0.0240  &        0.006     &    -4.002  &         0.000        &       -0.036    &       -0.012     \\\\\n",
       "\\textbf{Mixed\\_Gender}           &       0.0051  &        0.005     &     0.983  &         0.325        &       -0.005    &        0.015     \\\\\n",
       "\\textbf{Cross\\_Ethnic}           &       0.0161  &        0.005     &     3.235  &         0.001        &        0.006    &        0.026     \\\\\n",
       "\\textbf{Cross\\_Regional}         &      -0.0613  &        0.011     &    -5.417  &         0.000        &       -0.083    &       -0.039     \\\\\n",
       "\\textbf{International}           &       0.0875  &        0.006     &    14.771  &         0.000        &        0.076    &        0.099     \\\\\n",
       "\\textbf{Cited\\_Outgroup}         &       0.0635  &        0.009     &     6.755  &         0.000        &        0.045    &        0.082     \\\\\n",
       "\\textbf{Team\\_Size}              &       0.0459  &        0.003     &    15.569  &         0.000        &        0.040    &        0.052     \\\\\n",
       "\\textbf{Cited\\_References}       &       0.0030  &     6.14e-05     &    49.133  &         0.000        &        0.003    &        0.003     \\\\\n",
       "\\textbf{FA\\_Author\\_Reputation}  &       0.0018  &     4.83e-05     &    37.987  &         0.000        &        0.002    &        0.002     \\\\\n",
       "\\textbf{FA\\_Author\\_Publication} &       0.0099  &        0.001     &    14.810  &         0.000        &        0.009    &        0.011     \\\\\n",
       "\\textbf{Article\\_Age}            &       0.0293  &        0.000     &    61.406  &         0.000        &        0.028    &        0.030     \\\\\n",
       "\\textbf{Journal\\_Prestige}       &       0.0125  &        0.000     &   115.187  &         0.000        &        0.012    &        0.013     \\\\\n",
       "\\textbf{FA\\_Affliation\\_Weight}  &      13.8918  &        0.709     &    19.585  &         0.000        &       12.502    &       15.282     \\\\\n",
       "\\textbf{T1}                      &      -1.0720  &        0.183     &    -5.865  &         0.000        &       -1.430    &       -0.714     \\\\\n",
       "\\textbf{T2}                      &      -1.5278  &        0.185     &    -8.243  &         0.000        &       -1.891    &       -1.165     \\\\\n",
       "\\textbf{T3}                      &      -1.8689  &        0.218     &    -8.574  &         0.000        &       -2.296    &       -1.442     \\\\\n",
       "\\textbf{T4}                      &      -0.7629  &        0.175     &    -4.371  &         0.000        &       -1.105    &       -0.421     \\\\\n",
       "\\textbf{T5}                      &      -1.2101  &        0.193     &    -6.256  &         0.000        &       -1.589    &       -0.831     \\\\\n",
       "\\textbf{T6}                      &      -0.5001  &        0.203     &    -2.464  &         0.014        &       -0.898    &       -0.102     \\\\\n",
       "\\textbf{T7}                      &      -1.3004  &        0.190     &    -6.849  &         0.000        &       -1.673    &       -0.928     \\\\\n",
       "\\textbf{T8}                      &      -1.1009  &        0.168     &    -6.553  &         0.000        &       -1.430    &       -0.772     \\\\\n",
       "\\textbf{T9}                      &      -1.0369  &        0.185     &    -5.598  &         0.000        &       -1.400    &       -0.674     \\\\\n",
       "\\textbf{T10}                     &      -1.8515  &        0.194     &    -9.536  &         0.000        &       -2.232    &       -1.471     \\\\\n",
       "\\textbf{T11}                     &      -1.4075  &        0.190     &    -7.405  &         0.000        &       -1.780    &       -1.035     \\\\\n",
       "\\textbf{T12}                     &      -0.7615  &        0.198     &    -3.846  &         0.000        &       -1.150    &       -0.373     \\\\\n",
       "\\textbf{T13}                     &      -0.5794  &        0.175     &    -3.316  &         0.001        &       -0.922    &       -0.237     \\\\\n",
       "\\textbf{T14}                     &      -1.4280  &        0.197     &    -7.261  &         0.000        &       -1.813    &       -1.043     \\\\\n",
       "\\textbf{T15}                     &      -0.0060  &        0.182     &    -0.033  &         0.974        &       -0.363    &        0.351     \\\\\n",
       "\\textbf{T16}                     &      -1.1616  &        0.169     &    -6.869  &         0.000        &       -1.493    &       -0.830     \\\\\n",
       "\\textbf{T17}                     &      -0.6024  &        0.187     &    -3.213  &         0.001        &       -0.970    &       -0.235     \\\\\n",
       "\\textbf{T18}                     &       0.2302  &        0.176     &     1.311  &         0.190        &       -0.114    &        0.574     \\\\\n",
       "\\textbf{T19}                     &      -0.4624  &        0.174     &    -2.657  &         0.008        &       -0.804    &       -0.121     \\\\\n",
       "\\textbf{T20}                     &      -1.0636  &        0.210     &    -5.055  &         0.000        &       -1.476    &       -0.651     \\\\\n",
       "\\textbf{T21}                     &      -0.5275  &        0.177     &    -2.978  &         0.003        &       -0.875    &       -0.180     \\\\\n",
       "\\textbf{T22}                     &      -1.1124  &        0.195     &    -5.699  &         0.000        &       -1.495    &       -0.730     \\\\\n",
       "\\textbf{T23}                     &      -0.1904  &        0.176     &    -1.083  &         0.279        &       -0.535    &        0.154     \\\\\n",
       "\\textbf{T24}                     &      -0.3149  &        0.178     &    -1.774  &         0.076        &       -0.663    &        0.033     \\\\\n",
       "\\textbf{T25}                     &      -0.6895  &        0.191     &    -3.601  &         0.000        &       -1.065    &       -0.314     \\\\\n",
       "\\textbf{T26}                     &      -0.5272  &        0.147     &    -3.579  &         0.000        &       -0.816    &       -0.238     \\\\\n",
       "\\textbf{T27}                     &      -0.9345  &        0.200     &    -4.676  &         0.000        &       -1.326    &       -0.543     \\\\\n",
       "\\textbf{T28}                     &      -0.1950  &        0.186     &    -1.049  &         0.294        &       -0.560    &        0.169     \\\\\n",
       "\\textbf{T29}                     &      -0.4558  &        0.198     &    -2.297  &         0.022        &       -0.845    &       -0.067     \\\\\n",
       "\\textbf{T30}                     &      -0.6585  &        0.198     &    -3.333  &         0.001        &       -1.046    &       -0.271     \\\\\n",
       "\\textbf{T31}                     &      -0.8740  &        0.182     &    -4.796  &         0.000        &       -1.231    &       -0.517     \\\\\n",
       "\\textbf{T32}                     &      -0.3627  &        0.188     &    -1.929  &         0.054        &       -0.731    &        0.006     \\\\\n",
       "\\textbf{T33}                     &      -0.5569  &        0.203     &    -2.738  &         0.006        &       -0.956    &       -0.158     \\\\\n",
       "\\textbf{T34}                     &      -0.7492  &        0.181     &    -4.146  &         0.000        &       -1.103    &       -0.395     \\\\\n",
       "\\textbf{T35}                     &      -0.0281  &        0.170     &    -0.166  &         0.868        &       -0.361    &        0.304     \\\\\n",
       "\\textbf{T36}                     &      -0.9561  &        0.178     &    -5.376  &         0.000        &       -1.305    &       -0.607     \\\\\n",
       "\\textbf{T37}                     &      -0.1883  &        0.177     &    -1.065  &         0.287        &       -0.535    &        0.158     \\\\\n",
       "\\textbf{T38}                     &       0.3101  &        0.165     &     1.882  &         0.060        &       -0.013    &        0.633     \\\\\n",
       "\\textbf{T39}                     &      -0.4470  &        0.212     &    -2.108  &         0.035        &       -0.863    &       -0.031     \\\\\n",
       "\\textbf{T40}                     &      -0.2098  &        0.203     &    -1.032  &         0.302        &       -0.608    &        0.189     \\\\\n",
       "\\textbf{T41}                     &      -0.0207  &        0.172     &    -0.120  &         0.904        &       -0.358    &        0.317     \\\\\n",
       "\\textbf{T42}                     &      -0.7627  &        0.198     &    -3.854  &         0.000        &       -1.151    &       -0.375     \\\\\n",
       "\\textbf{T43}                     &      -0.0290  &        0.182     &    -0.159  &         0.874        &       -0.386    &        0.328     \\\\\n",
       "\\textbf{T44}                     &       0.0810  &        0.143     &     0.565  &         0.572        &       -0.200    &        0.362     \\\\\n",
       "\\textbf{T45}                     &       0.4746  &        0.174     &     2.725  &         0.006        &        0.133    &        0.816     \\\\\n",
       "\\textbf{T46}                     &      -0.1126  &        0.171     &    -0.658  &         0.510        &       -0.448    &        0.223     \\\\\n",
       "\\textbf{T47}                     &      -0.3784  &        0.137     &    -2.763  &         0.006        &       -0.647    &       -0.110     \\\\\n",
       "\\textbf{T48}                     &       0.2688  &        0.158     &     1.705  &         0.088        &       -0.040    &        0.578     \\\\\n",
       "\\textbf{T49}                     &      -0.0502  &        0.143     &    -0.351  &         0.725        &       -0.330    &        0.230     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lclc}\n",
       "\\textbf{Omnibus:}       & 313.852 & \\textbf{  Durbin-Watson:     } &    1.885  \\\\\n",
       "\\textbf{Prob(Omnibus):} &   0.000 & \\textbf{  Jarque-Bera (JB):  } &  425.227  \\\\\n",
       "\\textbf{Skew:}          &  -0.051 & \\textbf{  Prob(JB):          } & 4.60e-93  \\\\\n",
       "\\textbf{Kurtosis:}      &   3.372 & \\textbf{  Cond. No.          } & 3.40e+04  \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "%\\caption{OLS Regression Results}\n",
       "\\end{center}\n",
       "\n",
       "Notes: \\newline\n",
       " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
       " [2] The condition number is large, 3.4e+04. This might indicate that there are \\newline\n",
       " strong multicollinearity or other numerical problems."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:     Citations_Received   R-squared:                       0.428\n",
       "Model:                            OLS   Adj. R-squared:                  0.428\n",
       "Method:                 Least Squares   F-statistic:                     732.8\n",
       "Date:                Sat, 28 Sep 2024   Prob (F-statistic):               0.00\n",
       "Time:                        22:21:26   Log-Likelihood:                -36747.\n",
       "No. Observations:               68558   AIC:                         7.364e+04\n",
       "Df Residuals:                   68487   BIC:                         7.428e+04\n",
       "Df Model:                          70                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "=========================================================================================\n",
       "                            coef    std err          t      P>|t|      [0.025      0.975]\n",
       "-----------------------------------------------------------------------------------------\n",
       "Const                     0.6123      0.119      5.127      0.000       0.378       0.846\n",
       "FA_Female                 0.0393      0.004     10.993      0.000       0.032       0.046\n",
       "FA_European              -0.0184      0.004     -4.572      0.000      -0.026      -0.011\n",
       "FA_Asian                 -0.0673      0.007     -9.408      0.000      -0.081      -0.053\n",
       "FA_Slavic                -0.0733      0.007     -9.949      0.000      -0.088      -0.059\n",
       "FA_Hispanic/Latino       -0.0746      0.007    -10.809      0.000      -0.088      -0.061\n",
       "FA_African               -0.0614      0.009     -7.058      0.000      -0.078      -0.044\n",
       "FA_Jewish                -0.0749      0.011     -7.122      0.000      -0.095      -0.054\n",
       "FA_Other                 -0.0348      0.009     -3.806      0.000      -0.053      -0.017\n",
       "FA_South                 -0.0240      0.006     -4.002      0.000      -0.036      -0.012\n",
       "Mixed_Gender              0.0051      0.005      0.983      0.325      -0.005       0.015\n",
       "Cross_Ethnic              0.0161      0.005      3.235      0.001       0.006       0.026\n",
       "Cross_Regional           -0.0613      0.011     -5.417      0.000      -0.083      -0.039\n",
       "International             0.0875      0.006     14.771      0.000       0.076       0.099\n",
       "Cited_Outgroup            0.0635      0.009      6.755      0.000       0.045       0.082\n",
       "Team_Size                 0.0459      0.003     15.569      0.000       0.040       0.052\n",
       "Cited_References          0.0030   6.14e-05     49.133      0.000       0.003       0.003\n",
       "FA_Author_Reputation      0.0018   4.83e-05     37.987      0.000       0.002       0.002\n",
       "FA_Author_Publication     0.0099      0.001     14.810      0.000       0.009       0.011\n",
       "Article_Age               0.0293      0.000     61.406      0.000       0.028       0.030\n",
       "Journal_Prestige          0.0125      0.000    115.187      0.000       0.012       0.013\n",
       "FA_Affliation_Weight     13.8918      0.709     19.585      0.000      12.502      15.282\n",
       "T1                       -1.0720      0.183     -5.865      0.000      -1.430      -0.714\n",
       "T2                       -1.5278      0.185     -8.243      0.000      -1.891      -1.165\n",
       "T3                       -1.8689      0.218     -8.574      0.000      -2.296      -1.442\n",
       "T4                       -0.7629      0.175     -4.371      0.000      -1.105      -0.421\n",
       "T5                       -1.2101      0.193     -6.256      0.000      -1.589      -0.831\n",
       "T6                       -0.5001      0.203     -2.464      0.014      -0.898      -0.102\n",
       "T7                       -1.3004      0.190     -6.849      0.000      -1.673      -0.928\n",
       "T8                       -1.1009      0.168     -6.553      0.000      -1.430      -0.772\n",
       "T9                       -1.0369      0.185     -5.598      0.000      -1.400      -0.674\n",
       "T10                      -1.8515      0.194     -9.536      0.000      -2.232      -1.471\n",
       "T11                      -1.4075      0.190     -7.405      0.000      -1.780      -1.035\n",
       "T12                      -0.7615      0.198     -3.846      0.000      -1.150      -0.373\n",
       "T13                      -0.5794      0.175     -3.316      0.001      -0.922      -0.237\n",
       "T14                      -1.4280      0.197     -7.261      0.000      -1.813      -1.043\n",
       "T15                      -0.0060      0.182     -0.033      0.974      -0.363       0.351\n",
       "T16                      -1.1616      0.169     -6.869      0.000      -1.493      -0.830\n",
       "T17                      -0.6024      0.187     -3.213      0.001      -0.970      -0.235\n",
       "T18                       0.2302      0.176      1.311      0.190      -0.114       0.574\n",
       "T19                      -0.4624      0.174     -2.657      0.008      -0.804      -0.121\n",
       "T20                      -1.0636      0.210     -5.055      0.000      -1.476      -0.651\n",
       "T21                      -0.5275      0.177     -2.978      0.003      -0.875      -0.180\n",
       "T22                      -1.1124      0.195     -5.699      0.000      -1.495      -0.730\n",
       "T23                      -0.1904      0.176     -1.083      0.279      -0.535       0.154\n",
       "T24                      -0.3149      0.178     -1.774      0.076      -0.663       0.033\n",
       "T25                      -0.6895      0.191     -3.601      0.000      -1.065      -0.314\n",
       "T26                      -0.5272      0.147     -3.579      0.000      -0.816      -0.238\n",
       "T27                      -0.9345      0.200     -4.676      0.000      -1.326      -0.543\n",
       "T28                      -0.1950      0.186     -1.049      0.294      -0.560       0.169\n",
       "T29                      -0.4558      0.198     -2.297      0.022      -0.845      -0.067\n",
       "T30                      -0.6585      0.198     -3.333      0.001      -1.046      -0.271\n",
       "T31                      -0.8740      0.182     -4.796      0.000      -1.231      -0.517\n",
       "T32                      -0.3627      0.188     -1.929      0.054      -0.731       0.006\n",
       "T33                      -0.5569      0.203     -2.738      0.006      -0.956      -0.158\n",
       "T34                      -0.7492      0.181     -4.146      0.000      -1.103      -0.395\n",
       "T35                      -0.0281      0.170     -0.166      0.868      -0.361       0.304\n",
       "T36                      -0.9561      0.178     -5.376      0.000      -1.305      -0.607\n",
       "T37                      -0.1883      0.177     -1.065      0.287      -0.535       0.158\n",
       "T38                       0.3101      0.165      1.882      0.060      -0.013       0.633\n",
       "T39                      -0.4470      0.212     -2.108      0.035      -0.863      -0.031\n",
       "T40                      -0.2098      0.203     -1.032      0.302      -0.608       0.189\n",
       "T41                      -0.0207      0.172     -0.120      0.904      -0.358       0.317\n",
       "T42                      -0.7627      0.198     -3.854      0.000      -1.151      -0.375\n",
       "T43                      -0.0290      0.182     -0.159      0.874      -0.386       0.328\n",
       "T44                       0.0810      0.143      0.565      0.572      -0.200       0.362\n",
       "T45                       0.4746      0.174      2.725      0.006       0.133       0.816\n",
       "T46                      -0.1126      0.171     -0.658      0.510      -0.448       0.223\n",
       "T47                      -0.3784      0.137     -2.763      0.006      -0.647      -0.110\n",
       "T48                       0.2688      0.158      1.705      0.088      -0.040       0.578\n",
       "T49                      -0.0502      0.143     -0.351      0.725      -0.330       0.230\n",
       "==============================================================================\n",
       "Omnibus:                      313.852   Durbin-Watson:                   1.885\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              425.227\n",
       "Skew:                          -0.051   Prob(JB):                     4.60e-93\n",
       "Kurtosis:                       3.372   Cond. No.                     3.40e+04\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "[2] The condition number is large, 3.4e+04. This might indicate that there are\n",
       "strong multicollinearity or other numerical problems.\n",
       "\"\"\""
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Model 1: FA-based Model\n",
    "model_1 = sm.OLS(np.log10(regression_table[~pd.isna(regression_table['FA_Ethnicity'])]['Citations_Received']+1),regression_table[~pd.isna(regression_table['FA_Ethnicity'])][['Const','FA_Female','FA_European', 'FA_Asian', 'FA_Slavic', 'FA_Hispanic/Latino', 'FA_African', 'FA_Jewish', 'FA_Other','FA_South',\n",
    "                                                                                                                                                    'Mixed_Gender','Cross_Ethnic','Cross_Regional','International','Cited_Outgroup',\n",
    "                                                                                                                                                    'Team_Size', 'Cited_References','FA_Author_Reputation','FA_Author_Publication','Article_Age','Journal_Prestige','FA_Affliation_Weight']+['T'+str(i) for i in range(1,50)]],missing='drop')\n",
    "results_1 = model_1.fit(maxiter=100)\n",
    "results_1.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4fc83b4b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>    <td>Citations_Received</td> <th>  R-squared:         </th> <td>   0.442</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                    <td>OLS</td>        <th>  Adj. R-squared:    </th> <td>   0.441</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>              <td>Least Squares</td>   <th>  F-statistic:       </th> <td>   449.0</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>              <td>Sat, 28 Sep 2024</td>  <th>  Prob (F-statistic):</th>  <td>  0.00</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                  <td>22:25:10</td>      <th>  Log-Likelihood:    </th> <td> -20256.</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>       <td> 39690</td>       <th>  AIC:               </th> <td>4.065e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>           <td> 39619</td>       <th>  BIC:               </th> <td>4.126e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>               <td>    70</td>       <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>       <td>nonrobust</td>     <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "             <td></td>                <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Const</th>                   <td>    0.6491</td> <td>    0.147</td> <td>    4.402</td> <td> 0.000</td> <td>    0.360</td> <td>    0.938</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Female</th>             <td>    0.0509</td> <td>    0.006</td> <td>    9.210</td> <td> 0.000</td> <td>    0.040</td> <td>    0.062</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_European</th>           <td>   -0.0003</td> <td>    0.006</td> <td>   -0.046</td> <td> 0.964</td> <td>   -0.011</td> <td>    0.011</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Asian</th>              <td>   -0.0737</td> <td>    0.011</td> <td>   -6.990</td> <td> 0.000</td> <td>   -0.094</td> <td>   -0.053</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Slavic</th>             <td>   -0.0498</td> <td>    0.011</td> <td>   -4.657</td> <td> 0.000</td> <td>   -0.071</td> <td>   -0.029</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Hispanic/Latino</th>    <td>   -0.0189</td> <td>    0.011</td> <td>   -1.802</td> <td> 0.072</td> <td>   -0.040</td> <td>    0.002</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_African</th>            <td>   -0.0546</td> <td>    0.014</td> <td>   -4.020</td> <td> 0.000</td> <td>   -0.081</td> <td>   -0.028</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Jewish</th>             <td>   -0.0788</td> <td>    0.015</td> <td>   -5.231</td> <td> 0.000</td> <td>   -0.108</td> <td>   -0.049</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Other</th>              <td>   -0.0053</td> <td>    0.014</td> <td>   -0.372</td> <td> 0.710</td> <td>   -0.033</td> <td>    0.022</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_South</th>              <td>   -0.0251</td> <td>    0.009</td> <td>   -2.651</td> <td> 0.008</td> <td>   -0.044</td> <td>   -0.007</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Mixed_Gender</th>            <td>    0.0023</td> <td>    0.006</td> <td>    0.392</td> <td> 0.695</td> <td>   -0.009</td> <td>    0.014</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Ethnic</th>            <td>    0.0177</td> <td>    0.006</td> <td>    3.145</td> <td> 0.002</td> <td>    0.007</td> <td>    0.029</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Regional</th>          <td>   -0.0484</td> <td>    0.013</td> <td>   -3.755</td> <td> 0.000</td> <td>   -0.074</td> <td>   -0.023</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>International</th>           <td>    0.0833</td> <td>    0.006</td> <td>   12.955</td> <td> 0.000</td> <td>    0.071</td> <td>    0.096</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_Outgroup</th>          <td>    0.0200</td> <td>    0.012</td> <td>    1.652</td> <td> 0.099</td> <td>   -0.004</td> <td>    0.044</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Size</th>               <td>    0.0320</td> <td>    0.003</td> <td>   10.643</td> <td> 0.000</td> <td>    0.026</td> <td>    0.038</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_References</th>        <td>    0.0030</td> <td> 7.99e-05</td> <td>   37.527</td> <td> 0.000</td> <td>    0.003</td> <td>    0.003</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Author_Reputation</th>  <td>    0.0012</td> <td> 5.72e-05</td> <td>   21.843</td> <td> 0.000</td> <td>    0.001</td> <td>    0.001</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Author_Publication</th> <td>    0.0005</td> <td> 1.99e-05</td> <td>   24.536</td> <td> 0.000</td> <td>    0.000</td> <td>    0.001</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Article_Age</th>             <td>    0.0363</td> <td>    0.001</td> <td>   51.476</td> <td> 0.000</td> <td>    0.035</td> <td>    0.038</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Journal_Prestige</th>        <td>    0.0116</td> <td>    0.000</td> <td>   77.657</td> <td> 0.000</td> <td>    0.011</td> <td>    0.012</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Affliation_Weight</th>  <td>   12.1090</td> <td>    1.007</td> <td>   12.027</td> <td> 0.000</td> <td>   10.136</td> <td>   14.082</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T1</th>                      <td>   -1.1561</td> <td>    0.235</td> <td>   -4.918</td> <td> 0.000</td> <td>   -1.617</td> <td>   -0.695</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T2</th>                      <td>   -1.6073</td> <td>    0.241</td> <td>   -6.669</td> <td> 0.000</td> <td>   -2.080</td> <td>   -1.135</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T3</th>                      <td>   -1.8003</td> <td>    0.283</td> <td>   -6.354</td> <td> 0.000</td> <td>   -2.356</td> <td>   -1.245</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T4</th>                      <td>   -0.5750</td> <td>    0.222</td> <td>   -2.594</td> <td> 0.009</td> <td>   -1.010</td> <td>   -0.141</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T5</th>                      <td>   -0.8860</td> <td>    0.251</td> <td>   -3.527</td> <td> 0.000</td> <td>   -1.378</td> <td>   -0.394</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T6</th>                      <td>   -0.7063</td> <td>    0.264</td> <td>   -2.671</td> <td> 0.008</td> <td>   -1.224</td> <td>   -0.188</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T7</th>                      <td>   -0.8956</td> <td>    0.241</td> <td>   -3.714</td> <td> 0.000</td> <td>   -1.368</td> <td>   -0.423</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T8</th>                      <td>   -0.9383</td> <td>    0.212</td> <td>   -4.422</td> <td> 0.000</td> <td>   -1.354</td> <td>   -0.522</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T9</th>                      <td>   -0.8142</td> <td>    0.241</td> <td>   -3.378</td> <td> 0.001</td> <td>   -1.287</td> <td>   -0.342</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T10</th>                     <td>   -1.5785</td> <td>    0.242</td> <td>   -6.514</td> <td> 0.000</td> <td>   -2.053</td> <td>   -1.104</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T11</th>                     <td>   -1.1897</td> <td>    0.242</td> <td>   -4.914</td> <td> 0.000</td> <td>   -1.664</td> <td>   -0.715</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T12</th>                     <td>   -0.5326</td> <td>    0.253</td> <td>   -2.109</td> <td> 0.035</td> <td>   -1.028</td> <td>   -0.038</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T13</th>                     <td>   -0.6396</td> <td>    0.223</td> <td>   -2.872</td> <td> 0.004</td> <td>   -1.076</td> <td>   -0.203</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T14</th>                     <td>   -1.5749</td> <td>    0.248</td> <td>   -6.356</td> <td> 0.000</td> <td>   -2.061</td> <td>   -1.089</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T15</th>                     <td>    0.4533</td> <td>    0.231</td> <td>    1.964</td> <td> 0.050</td> <td>    0.001</td> <td>    0.906</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T16</th>                     <td>   -1.1234</td> <td>    0.215</td> <td>   -5.214</td> <td> 0.000</td> <td>   -1.546</td> <td>   -0.701</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T17</th>                     <td>   -0.8879</td> <td>    0.235</td> <td>   -3.779</td> <td> 0.000</td> <td>   -1.348</td> <td>   -0.427</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T18</th>                     <td>    0.1811</td> <td>    0.224</td> <td>    0.808</td> <td> 0.419</td> <td>   -0.258</td> <td>    0.620</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T19</th>                     <td>   -0.4770</td> <td>    0.243</td> <td>   -1.960</td> <td> 0.050</td> <td>   -0.954</td> <td>-4.43e-05</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T20</th>                     <td>   -0.8107</td> <td>    0.272</td> <td>   -2.982</td> <td> 0.003</td> <td>   -1.344</td> <td>   -0.278</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T21</th>                     <td>   -0.5364</td> <td>    0.224</td> <td>   -2.394</td> <td> 0.017</td> <td>   -0.975</td> <td>   -0.097</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T22</th>                     <td>   -1.1436</td> <td>    0.247</td> <td>   -4.630</td> <td> 0.000</td> <td>   -1.628</td> <td>   -0.660</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T23</th>                     <td>   -0.0468</td> <td>    0.221</td> <td>   -0.212</td> <td> 0.832</td> <td>   -0.479</td> <td>    0.386</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T24</th>                     <td>   -0.4129</td> <td>    0.227</td> <td>   -1.815</td> <td> 0.070</td> <td>   -0.859</td> <td>    0.033</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T25</th>                     <td>   -0.3951</td> <td>    0.246</td> <td>   -1.607</td> <td> 0.108</td> <td>   -0.877</td> <td>    0.087</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T26</th>                     <td>   -0.5939</td> <td>    0.185</td> <td>   -3.215</td> <td> 0.001</td> <td>   -0.956</td> <td>   -0.232</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T27</th>                     <td>   -0.7545</td> <td>    0.257</td> <td>   -2.934</td> <td> 0.003</td> <td>   -1.259</td> <td>   -0.250</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T28</th>                     <td>   -0.0940</td> <td>    0.237</td> <td>   -0.397</td> <td> 0.691</td> <td>   -0.558</td> <td>    0.370</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T29</th>                     <td>   -0.4902</td> <td>    0.254</td> <td>   -1.930</td> <td> 0.054</td> <td>   -0.988</td> <td>    0.008</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T30</th>                     <td>   -0.6892</td> <td>    0.250</td> <td>   -2.762</td> <td> 0.006</td> <td>   -1.178</td> <td>   -0.200</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T31</th>                     <td>   -0.7590</td> <td>    0.228</td> <td>   -3.333</td> <td> 0.001</td> <td>   -1.205</td> <td>   -0.313</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T32</th>                     <td>   -0.5988</td> <td>    0.241</td> <td>   -2.486</td> <td> 0.013</td> <td>   -1.071</td> <td>   -0.127</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T33</th>                     <td>   -0.5377</td> <td>    0.257</td> <td>   -2.094</td> <td> 0.036</td> <td>   -1.041</td> <td>   -0.034</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T34</th>                     <td>   -0.7073</td> <td>    0.225</td> <td>   -3.138</td> <td> 0.002</td> <td>   -1.149</td> <td>   -0.266</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T35</th>                     <td>   -0.2558</td> <td>    0.213</td> <td>   -1.203</td> <td> 0.229</td> <td>   -0.672</td> <td>    0.161</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T36</th>                     <td>   -1.1592</td> <td>    0.220</td> <td>   -5.259</td> <td> 0.000</td> <td>   -1.591</td> <td>   -0.727</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T37</th>                     <td>   -0.0331</td> <td>    0.220</td> <td>   -0.150</td> <td> 0.881</td> <td>   -0.464</td> <td>    0.398</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T38</th>                     <td>    0.1277</td> <td>    0.206</td> <td>    0.621</td> <td> 0.535</td> <td>   -0.275</td> <td>    0.531</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T39</th>                     <td>   -0.5655</td> <td>    0.267</td> <td>   -2.117</td> <td> 0.034</td> <td>   -1.089</td> <td>   -0.042</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T40</th>                     <td>   -0.3312</td> <td>    0.256</td> <td>   -1.293</td> <td> 0.196</td> <td>   -0.833</td> <td>    0.171</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T41</th>                     <td>    0.0037</td> <td>    0.214</td> <td>    0.017</td> <td> 0.986</td> <td>   -0.415</td> <td>    0.422</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T42</th>                     <td>   -0.9313</td> <td>    0.247</td> <td>   -3.769</td> <td> 0.000</td> <td>   -1.416</td> <td>   -0.447</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T43</th>                     <td>    0.0693</td> <td>    0.222</td> <td>    0.312</td> <td> 0.755</td> <td>   -0.365</td> <td>    0.504</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T44</th>                     <td>   -0.1230</td> <td>    0.178</td> <td>   -0.693</td> <td> 0.489</td> <td>   -0.471</td> <td>    0.225</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T45</th>                     <td>    0.6636</td> <td>    0.217</td> <td>    3.064</td> <td> 0.002</td> <td>    0.239</td> <td>    1.088</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T46</th>                     <td>   -0.2571</td> <td>    0.211</td> <td>   -1.220</td> <td> 0.223</td> <td>   -0.670</td> <td>    0.156</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T47</th>                     <td>   -0.5415</td> <td>    0.166</td> <td>   -3.255</td> <td> 0.001</td> <td>   -0.868</td> <td>   -0.215</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T48</th>                     <td>    0.3766</td> <td>    0.194</td> <td>    1.944</td> <td> 0.052</td> <td>   -0.003</td> <td>    0.756</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T49</th>                     <td>   -0.3237</td> <td>    0.176</td> <td>   -1.837</td> <td> 0.066</td> <td>   -0.669</td> <td>    0.022</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>125.428</td> <th>  Durbin-Watson:     </th> <td>   1.891</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.000</td>  <th>  Jarque-Bera (JB):  </th> <td> 143.980</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td>-0.087</td>  <th>  Prob(JB):          </th> <td>5.43e-32</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 3.239</td>  <th>  Cond. No.          </th> <td>7.75e+04</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.<br/>[2] The condition number is large, 7.75e+04. This might indicate that there are<br/>strong multicollinearity or other numerical problems."
      ],
      "text/latex": [
       "\\begin{center}\n",
       "\\begin{tabular}{lclc}\n",
       "\\toprule\n",
       "\\textbf{Dep. Variable:}            & Citations\\_Received & \\textbf{  R-squared:         } &     0.442   \\\\\n",
       "\\textbf{Model:}                    &         OLS         & \\textbf{  Adj. R-squared:    } &     0.441   \\\\\n",
       "\\textbf{Method:}                   &    Least Squares    & \\textbf{  F-statistic:       } &     449.0   \\\\\n",
       "\\textbf{Date:}                     &   Sat, 28 Sep 2024  & \\textbf{  Prob (F-statistic):} &     0.00    \\\\\n",
       "\\textbf{Time:}                     &       22:25:10      & \\textbf{  Log-Likelihood:    } &   -20256.   \\\\\n",
       "\\textbf{No. Observations:}         &         39690       & \\textbf{  AIC:               } & 4.065e+04   \\\\\n",
       "\\textbf{Df Residuals:}             &         39619       & \\textbf{  BIC:               } & 4.126e+04   \\\\\n",
       "\\textbf{Df Model:}                 &            70       & \\textbf{                     } &             \\\\\n",
       "\\textbf{Covariance Type:}          &      nonrobust      & \\textbf{                     } &             \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lcccccc}\n",
       "                                   & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]}  \\\\\n",
       "\\midrule\n",
       "\\textbf{Const}                     &       0.6491  &        0.147     &     4.402  &         0.000        &        0.360    &        0.938     \\\\\n",
       "\\textbf{Team\\_Female}              &       0.0509  &        0.006     &     9.210  &         0.000        &        0.040    &        0.062     \\\\\n",
       "\\textbf{Team\\_European}            &      -0.0003  &        0.006     &    -0.046  &         0.964        &       -0.011    &        0.011     \\\\\n",
       "\\textbf{Team\\_Asian}               &      -0.0737  &        0.011     &    -6.990  &         0.000        &       -0.094    &       -0.053     \\\\\n",
       "\\textbf{Team\\_Slavic}              &      -0.0498  &        0.011     &    -4.657  &         0.000        &       -0.071    &       -0.029     \\\\\n",
       "\\textbf{Team\\_Hispanic/Latino}     &      -0.0189  &        0.011     &    -1.802  &         0.072        &       -0.040    &        0.002     \\\\\n",
       "\\textbf{Team\\_African}             &      -0.0546  &        0.014     &    -4.020  &         0.000        &       -0.081    &       -0.028     \\\\\n",
       "\\textbf{Team\\_Jewish}              &      -0.0788  &        0.015     &    -5.231  &         0.000        &       -0.108    &       -0.049     \\\\\n",
       "\\textbf{Team\\_Other}               &      -0.0053  &        0.014     &    -0.372  &         0.710        &       -0.033    &        0.022     \\\\\n",
       "\\textbf{Team\\_South}               &      -0.0251  &        0.009     &    -2.651  &         0.008        &       -0.044    &       -0.007     \\\\\n",
       "\\textbf{Mixed\\_Gender}             &       0.0023  &        0.006     &     0.392  &         0.695        &       -0.009    &        0.014     \\\\\n",
       "\\textbf{Cross\\_Ethnic}             &       0.0177  &        0.006     &     3.145  &         0.002        &        0.007    &        0.029     \\\\\n",
       "\\textbf{Cross\\_Regional}           &      -0.0484  &        0.013     &    -3.755  &         0.000        &       -0.074    &       -0.023     \\\\\n",
       "\\textbf{International}             &       0.0833  &        0.006     &    12.955  &         0.000        &        0.071    &        0.096     \\\\\n",
       "\\textbf{Cited\\_Outgroup}           &       0.0200  &        0.012     &     1.652  &         0.099        &       -0.004    &        0.044     \\\\\n",
       "\\textbf{Team\\_Size}                &       0.0320  &        0.003     &    10.643  &         0.000        &        0.026    &        0.038     \\\\\n",
       "\\textbf{Cited\\_References}         &       0.0030  &     7.99e-05     &    37.527  &         0.000        &        0.003    &        0.003     \\\\\n",
       "\\textbf{Team\\_Author\\_Reputation}  &       0.0012  &     5.72e-05     &    21.843  &         0.000        &        0.001    &        0.001     \\\\\n",
       "\\textbf{Team\\_Author\\_Publication} &       0.0005  &     1.99e-05     &    24.536  &         0.000        &        0.000    &        0.001     \\\\\n",
       "\\textbf{Article\\_Age}              &       0.0363  &        0.001     &    51.476  &         0.000        &        0.035    &        0.038     \\\\\n",
       "\\textbf{Journal\\_Prestige}         &       0.0116  &        0.000     &    77.657  &         0.000        &        0.011    &        0.012     \\\\\n",
       "\\textbf{Team\\_Affliation\\_Weight}  &      12.1090  &        1.007     &    12.027  &         0.000        &       10.136    &       14.082     \\\\\n",
       "\\textbf{T1}                        &      -1.1561  &        0.235     &    -4.918  &         0.000        &       -1.617    &       -0.695     \\\\\n",
       "\\textbf{T2}                        &      -1.6073  &        0.241     &    -6.669  &         0.000        &       -2.080    &       -1.135     \\\\\n",
       "\\textbf{T3}                        &      -1.8003  &        0.283     &    -6.354  &         0.000        &       -2.356    &       -1.245     \\\\\n",
       "\\textbf{T4}                        &      -0.5750  &        0.222     &    -2.594  &         0.009        &       -1.010    &       -0.141     \\\\\n",
       "\\textbf{T5}                        &      -0.8860  &        0.251     &    -3.527  &         0.000        &       -1.378    &       -0.394     \\\\\n",
       "\\textbf{T6}                        &      -0.7063  &        0.264     &    -2.671  &         0.008        &       -1.224    &       -0.188     \\\\\n",
       "\\textbf{T7}                        &      -0.8956  &        0.241     &    -3.714  &         0.000        &       -1.368    &       -0.423     \\\\\n",
       "\\textbf{T8}                        &      -0.9383  &        0.212     &    -4.422  &         0.000        &       -1.354    &       -0.522     \\\\\n",
       "\\textbf{T9}                        &      -0.8142  &        0.241     &    -3.378  &         0.001        &       -1.287    &       -0.342     \\\\\n",
       "\\textbf{T10}                       &      -1.5785  &        0.242     &    -6.514  &         0.000        &       -2.053    &       -1.104     \\\\\n",
       "\\textbf{T11}                       &      -1.1897  &        0.242     &    -4.914  &         0.000        &       -1.664    &       -0.715     \\\\\n",
       "\\textbf{T12}                       &      -0.5326  &        0.253     &    -2.109  &         0.035        &       -1.028    &       -0.038     \\\\\n",
       "\\textbf{T13}                       &      -0.6396  &        0.223     &    -2.872  &         0.004        &       -1.076    &       -0.203     \\\\\n",
       "\\textbf{T14}                       &      -1.5749  &        0.248     &    -6.356  &         0.000        &       -2.061    &       -1.089     \\\\\n",
       "\\textbf{T15}                       &       0.4533  &        0.231     &     1.964  &         0.050        &        0.001    &        0.906     \\\\\n",
       "\\textbf{T16}                       &      -1.1234  &        0.215     &    -5.214  &         0.000        &       -1.546    &       -0.701     \\\\\n",
       "\\textbf{T17}                       &      -0.8879  &        0.235     &    -3.779  &         0.000        &       -1.348    &       -0.427     \\\\\n",
       "\\textbf{T18}                       &       0.1811  &        0.224     &     0.808  &         0.419        &       -0.258    &        0.620     \\\\\n",
       "\\textbf{T19}                       &      -0.4770  &        0.243     &    -1.960  &         0.050        &       -0.954    &    -4.43e-05     \\\\\n",
       "\\textbf{T20}                       &      -0.8107  &        0.272     &    -2.982  &         0.003        &       -1.344    &       -0.278     \\\\\n",
       "\\textbf{T21}                       &      -0.5364  &        0.224     &    -2.394  &         0.017        &       -0.975    &       -0.097     \\\\\n",
       "\\textbf{T22}                       &      -1.1436  &        0.247     &    -4.630  &         0.000        &       -1.628    &       -0.660     \\\\\n",
       "\\textbf{T23}                       &      -0.0468  &        0.221     &    -0.212  &         0.832        &       -0.479    &        0.386     \\\\\n",
       "\\textbf{T24}                       &      -0.4129  &        0.227     &    -1.815  &         0.070        &       -0.859    &        0.033     \\\\\n",
       "\\textbf{T25}                       &      -0.3951  &        0.246     &    -1.607  &         0.108        &       -0.877    &        0.087     \\\\\n",
       "\\textbf{T26}                       &      -0.5939  &        0.185     &    -3.215  &         0.001        &       -0.956    &       -0.232     \\\\\n",
       "\\textbf{T27}                       &      -0.7545  &        0.257     &    -2.934  &         0.003        &       -1.259    &       -0.250     \\\\\n",
       "\\textbf{T28}                       &      -0.0940  &        0.237     &    -0.397  &         0.691        &       -0.558    &        0.370     \\\\\n",
       "\\textbf{T29}                       &      -0.4902  &        0.254     &    -1.930  &         0.054        &       -0.988    &        0.008     \\\\\n",
       "\\textbf{T30}                       &      -0.6892  &        0.250     &    -2.762  &         0.006        &       -1.178    &       -0.200     \\\\\n",
       "\\textbf{T31}                       &      -0.7590  &        0.228     &    -3.333  &         0.001        &       -1.205    &       -0.313     \\\\\n",
       "\\textbf{T32}                       &      -0.5988  &        0.241     &    -2.486  &         0.013        &       -1.071    &       -0.127     \\\\\n",
       "\\textbf{T33}                       &      -0.5377  &        0.257     &    -2.094  &         0.036        &       -1.041    &       -0.034     \\\\\n",
       "\\textbf{T34}                       &      -0.7073  &        0.225     &    -3.138  &         0.002        &       -1.149    &       -0.266     \\\\\n",
       "\\textbf{T35}                       &      -0.2558  &        0.213     &    -1.203  &         0.229        &       -0.672    &        0.161     \\\\\n",
       "\\textbf{T36}                       &      -1.1592  &        0.220     &    -5.259  &         0.000        &       -1.591    &       -0.727     \\\\\n",
       "\\textbf{T37}                       &      -0.0331  &        0.220     &    -0.150  &         0.881        &       -0.464    &        0.398     \\\\\n",
       "\\textbf{T38}                       &       0.1277  &        0.206     &     0.621  &         0.535        &       -0.275    &        0.531     \\\\\n",
       "\\textbf{T39}                       &      -0.5655  &        0.267     &    -2.117  &         0.034        &       -1.089    &       -0.042     \\\\\n",
       "\\textbf{T40}                       &      -0.3312  &        0.256     &    -1.293  &         0.196        &       -0.833    &        0.171     \\\\\n",
       "\\textbf{T41}                       &       0.0037  &        0.214     &     0.017  &         0.986        &       -0.415    &        0.422     \\\\\n",
       "\\textbf{T42}                       &      -0.9313  &        0.247     &    -3.769  &         0.000        &       -1.416    &       -0.447     \\\\\n",
       "\\textbf{T43}                       &       0.0693  &        0.222     &     0.312  &         0.755        &       -0.365    &        0.504     \\\\\n",
       "\\textbf{T44}                       &      -0.1230  &        0.178     &    -0.693  &         0.489        &       -0.471    &        0.225     \\\\\n",
       "\\textbf{T45}                       &       0.6636  &        0.217     &     3.064  &         0.002        &        0.239    &        1.088     \\\\\n",
       "\\textbf{T46}                       &      -0.2571  &        0.211     &    -1.220  &         0.223        &       -0.670    &        0.156     \\\\\n",
       "\\textbf{T47}                       &      -0.5415  &        0.166     &    -3.255  &         0.001        &       -0.868    &       -0.215     \\\\\n",
       "\\textbf{T48}                       &       0.3766  &        0.194     &     1.944  &         0.052        &       -0.003    &        0.756     \\\\\n",
       "\\textbf{T49}                       &      -0.3237  &        0.176     &    -1.837  &         0.066        &       -0.669    &        0.022     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lclc}\n",
       "\\textbf{Omnibus:}       & 125.428 & \\textbf{  Durbin-Watson:     } &    1.891  \\\\\n",
       "\\textbf{Prob(Omnibus):} &   0.000 & \\textbf{  Jarque-Bera (JB):  } &  143.980  \\\\\n",
       "\\textbf{Skew:}          &  -0.087 & \\textbf{  Prob(JB):          } & 5.43e-32  \\\\\n",
       "\\textbf{Kurtosis:}      &   3.239 & \\textbf{  Cond. No.          } & 7.75e+04  \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "%\\caption{OLS Regression Results}\n",
       "\\end{center}\n",
       "\n",
       "Notes: \\newline\n",
       " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
       " [2] The condition number is large, 7.75e+04. This might indicate that there are \\newline\n",
       " strong multicollinearity or other numerical problems."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:     Citations_Received   R-squared:                       0.442\n",
       "Model:                            OLS   Adj. R-squared:                  0.441\n",
       "Method:                 Least Squares   F-statistic:                     449.0\n",
       "Date:                Sat, 28 Sep 2024   Prob (F-statistic):               0.00\n",
       "Time:                        22:25:10   Log-Likelihood:                -20256.\n",
       "No. Observations:               39690   AIC:                         4.065e+04\n",
       "Df Residuals:                   39619   BIC:                         4.126e+04\n",
       "Df Model:                          70                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "===========================================================================================\n",
       "                              coef    std err          t      P>|t|      [0.025      0.975]\n",
       "-------------------------------------------------------------------------------------------\n",
       "Const                       0.6491      0.147      4.402      0.000       0.360       0.938\n",
       "Team_Female                 0.0509      0.006      9.210      0.000       0.040       0.062\n",
       "Team_European              -0.0003      0.006     -0.046      0.964      -0.011       0.011\n",
       "Team_Asian                 -0.0737      0.011     -6.990      0.000      -0.094      -0.053\n",
       "Team_Slavic                -0.0498      0.011     -4.657      0.000      -0.071      -0.029\n",
       "Team_Hispanic/Latino       -0.0189      0.011     -1.802      0.072      -0.040       0.002\n",
       "Team_African               -0.0546      0.014     -4.020      0.000      -0.081      -0.028\n",
       "Team_Jewish                -0.0788      0.015     -5.231      0.000      -0.108      -0.049\n",
       "Team_Other                 -0.0053      0.014     -0.372      0.710      -0.033       0.022\n",
       "Team_South                 -0.0251      0.009     -2.651      0.008      -0.044      -0.007\n",
       "Mixed_Gender                0.0023      0.006      0.392      0.695      -0.009       0.014\n",
       "Cross_Ethnic                0.0177      0.006      3.145      0.002       0.007       0.029\n",
       "Cross_Regional             -0.0484      0.013     -3.755      0.000      -0.074      -0.023\n",
       "International               0.0833      0.006     12.955      0.000       0.071       0.096\n",
       "Cited_Outgroup              0.0200      0.012      1.652      0.099      -0.004       0.044\n",
       "Team_Size                   0.0320      0.003     10.643      0.000       0.026       0.038\n",
       "Cited_References            0.0030   7.99e-05     37.527      0.000       0.003       0.003\n",
       "Team_Author_Reputation      0.0012   5.72e-05     21.843      0.000       0.001       0.001\n",
       "Team_Author_Publication     0.0005   1.99e-05     24.536      0.000       0.000       0.001\n",
       "Article_Age                 0.0363      0.001     51.476      0.000       0.035       0.038\n",
       "Journal_Prestige            0.0116      0.000     77.657      0.000       0.011       0.012\n",
       "Team_Affliation_Weight     12.1090      1.007     12.027      0.000      10.136      14.082\n",
       "T1                         -1.1561      0.235     -4.918      0.000      -1.617      -0.695\n",
       "T2                         -1.6073      0.241     -6.669      0.000      -2.080      -1.135\n",
       "T3                         -1.8003      0.283     -6.354      0.000      -2.356      -1.245\n",
       "T4                         -0.5750      0.222     -2.594      0.009      -1.010      -0.141\n",
       "T5                         -0.8860      0.251     -3.527      0.000      -1.378      -0.394\n",
       "T6                         -0.7063      0.264     -2.671      0.008      -1.224      -0.188\n",
       "T7                         -0.8956      0.241     -3.714      0.000      -1.368      -0.423\n",
       "T8                         -0.9383      0.212     -4.422      0.000      -1.354      -0.522\n",
       "T9                         -0.8142      0.241     -3.378      0.001      -1.287      -0.342\n",
       "T10                        -1.5785      0.242     -6.514      0.000      -2.053      -1.104\n",
       "T11                        -1.1897      0.242     -4.914      0.000      -1.664      -0.715\n",
       "T12                        -0.5326      0.253     -2.109      0.035      -1.028      -0.038\n",
       "T13                        -0.6396      0.223     -2.872      0.004      -1.076      -0.203\n",
       "T14                        -1.5749      0.248     -6.356      0.000      -2.061      -1.089\n",
       "T15                         0.4533      0.231      1.964      0.050       0.001       0.906\n",
       "T16                        -1.1234      0.215     -5.214      0.000      -1.546      -0.701\n",
       "T17                        -0.8879      0.235     -3.779      0.000      -1.348      -0.427\n",
       "T18                         0.1811      0.224      0.808      0.419      -0.258       0.620\n",
       "T19                        -0.4770      0.243     -1.960      0.050      -0.954   -4.43e-05\n",
       "T20                        -0.8107      0.272     -2.982      0.003      -1.344      -0.278\n",
       "T21                        -0.5364      0.224     -2.394      0.017      -0.975      -0.097\n",
       "T22                        -1.1436      0.247     -4.630      0.000      -1.628      -0.660\n",
       "T23                        -0.0468      0.221     -0.212      0.832      -0.479       0.386\n",
       "T24                        -0.4129      0.227     -1.815      0.070      -0.859       0.033\n",
       "T25                        -0.3951      0.246     -1.607      0.108      -0.877       0.087\n",
       "T26                        -0.5939      0.185     -3.215      0.001      -0.956      -0.232\n",
       "T27                        -0.7545      0.257     -2.934      0.003      -1.259      -0.250\n",
       "T28                        -0.0940      0.237     -0.397      0.691      -0.558       0.370\n",
       "T29                        -0.4902      0.254     -1.930      0.054      -0.988       0.008\n",
       "T30                        -0.6892      0.250     -2.762      0.006      -1.178      -0.200\n",
       "T31                        -0.7590      0.228     -3.333      0.001      -1.205      -0.313\n",
       "T32                        -0.5988      0.241     -2.486      0.013      -1.071      -0.127\n",
       "T33                        -0.5377      0.257     -2.094      0.036      -1.041      -0.034\n",
       "T34                        -0.7073      0.225     -3.138      0.002      -1.149      -0.266\n",
       "T35                        -0.2558      0.213     -1.203      0.229      -0.672       0.161\n",
       "T36                        -1.1592      0.220     -5.259      0.000      -1.591      -0.727\n",
       "T37                        -0.0331      0.220     -0.150      0.881      -0.464       0.398\n",
       "T38                         0.1277      0.206      0.621      0.535      -0.275       0.531\n",
       "T39                        -0.5655      0.267     -2.117      0.034      -1.089      -0.042\n",
       "T40                        -0.3312      0.256     -1.293      0.196      -0.833       0.171\n",
       "T41                         0.0037      0.214      0.017      0.986      -0.415       0.422\n",
       "T42                        -0.9313      0.247     -3.769      0.000      -1.416      -0.447\n",
       "T43                         0.0693      0.222      0.312      0.755      -0.365       0.504\n",
       "T44                        -0.1230      0.178     -0.693      0.489      -0.471       0.225\n",
       "T45                         0.6636      0.217      3.064      0.002       0.239       1.088\n",
       "T46                        -0.2571      0.211     -1.220      0.223      -0.670       0.156\n",
       "T47                        -0.5415      0.166     -3.255      0.001      -0.868      -0.215\n",
       "T48                         0.3766      0.194      1.944      0.052      -0.003       0.756\n",
       "T49                        -0.3237      0.176     -1.837      0.066      -0.669       0.022\n",
       "==============================================================================\n",
       "Omnibus:                      125.428   Durbin-Watson:                   1.891\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              143.980\n",
       "Skew:                          -0.087   Prob(JB):                     5.43e-32\n",
       "Kurtosis:                       3.239   Cond. No.                     7.75e+04\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "[2] The condition number is large, 7.75e+04. This might indicate that there are\n",
       "strong multicollinearity or other numerical problems.\n",
       "\"\"\""
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Model 2: Team-based Model\n",
    "model_2 = sm.OLS(np.log10(regression_table[~pd.isna(regression_table['FA_Ethnicity'])]['Citations_Received']+1),regression_table[~pd.isna(regression_table['FA_Ethnicity'])][['Const','Team_Female','Team_European', 'Team_Asian', 'Team_Slavic', 'Team_Hispanic/Latino', 'Team_African', 'Team_Jewish', 'Team_Other','Team_South',\n",
    "                                                                                                                                                    'Mixed_Gender','Cross_Ethnic','Cross_Regional','International','Cited_Outgroup',\n",
    "                                                                                                                                                    'Team_Size','Cited_References','Team_Author_Reputation','Team_Author_Publication', 'Article_Age','Journal_Prestige','Team_Affliation_Weight']+['T'+str(i) for i in range(1,50)]],missing='drop')\n",
    "results_2 = model_2.fit(maxiter=100)\n",
    "results_2.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "eeda9e86-8bab-4601-a9f5-23ad317f7137",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>    <td>Citations_Received</td> <th>  R-squared:         </th> <td>   0.446</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                    <td>OLS</td>        <th>  Adj. R-squared:    </th> <td>   0.438</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>              <td>Least Squares</td>   <th>  F-statistic:       </th> <td>   60.37</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>              <td>Sat, 28 Sep 2024</td>  <th>  Prob (F-statistic):</th>  <td>  0.00</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                  <td>22:25:11</td>      <th>  Log-Likelihood:    </th> <td> -3149.6</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>       <td>  5249</td>       <th>  AIC:               </th> <td>   6439.</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>           <td>  5179</td>       <th>  BIC:               </th> <td>   6899.</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>               <td>    69</td>       <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>       <td>nonrobust</td>     <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "            <td></td>               <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Const</th>                 <td>    1.4157</td> <td>    0.404</td> <td>    3.502</td> <td> 0.000</td> <td>    0.623</td> <td>    2.208</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Female</th>             <td>    0.0276</td> <td>    0.014</td> <td>    1.958</td> <td> 0.050</td> <td>-3.91e-05</td> <td>    0.055</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_European</th>           <td>    0.0236</td> <td>    0.016</td> <td>    1.456</td> <td> 0.146</td> <td>   -0.008</td> <td>    0.055</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Asian</th>              <td>   -0.0248</td> <td>    0.027</td> <td>   -0.910</td> <td> 0.363</td> <td>   -0.078</td> <td>    0.029</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Slavic</th>             <td>   -0.0372</td> <td>    0.029</td> <td>   -1.276</td> <td> 0.202</td> <td>   -0.094</td> <td>    0.020</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Hispanic/Latino</th>    <td>   -0.0173</td> <td>    0.029</td> <td>   -0.598</td> <td> 0.550</td> <td>   -0.074</td> <td>    0.039</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_African</th>            <td>   -0.0522</td> <td>    0.037</td> <td>   -1.416</td> <td> 0.157</td> <td>   -0.124</td> <td>    0.020</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Jewish</th>             <td>   -0.0612</td> <td>    0.035</td> <td>   -1.737</td> <td> 0.083</td> <td>   -0.130</td> <td>    0.008</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Other</th>              <td>   -0.0032</td> <td>    0.033</td> <td>   -0.095</td> <td> 0.925</td> <td>   -0.069</td> <td>    0.062</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Mixed_Gender</th>          <td>   -0.0323</td> <td>    0.020</td> <td>   -1.621</td> <td> 0.105</td> <td>   -0.071</td> <td>    0.007</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Ethnic</th>          <td>    0.0464</td> <td>    0.019</td> <td>    2.421</td> <td> 0.015</td> <td>    0.009</td> <td>    0.084</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Regional</th>        <td>   -0.0636</td> <td>    0.056</td> <td>   -1.135</td> <td> 0.257</td> <td>   -0.173</td> <td>    0.046</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>International</th>         <td>    0.0496</td> <td>    0.023</td> <td>    2.190</td> <td> 0.029</td> <td>    0.005</td> <td>    0.094</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_Outgroup</th>        <td>    0.0068</td> <td>    0.043</td> <td>    0.160</td> <td> 0.873</td> <td>   -0.077</td> <td>    0.091</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Size</th>             <td>    0.0739</td> <td>    0.012</td> <td>    5.941</td> <td> 0.000</td> <td>    0.049</td> <td>    0.098</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_References</th>      <td>    0.0035</td> <td>    0.000</td> <td>   15.128</td> <td> 0.000</td> <td>    0.003</td> <td>    0.004</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Reputation</th>  <td>    0.0010</td> <td>    0.000</td> <td>    9.362</td> <td> 0.000</td> <td>    0.001</td> <td>    0.001</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Publication</th> <td>    0.0112</td> <td>    0.003</td> <td>    4.256</td> <td> 0.000</td> <td>    0.006</td> <td>    0.016</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Article_Age</th>           <td>    0.0352</td> <td>    0.002</td> <td>   18.553</td> <td> 0.000</td> <td>    0.031</td> <td>    0.039</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Journal_Prestige</th>      <td>    0.0104</td> <td>    0.000</td> <td>   33.218</td> <td> 0.000</td> <td>    0.010</td> <td>    0.011</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Affliation_Weight</th>  <td>   -1.6256</td> <td>    3.518</td> <td>   -0.462</td> <td> 0.644</td> <td>   -8.522</td> <td>    5.271</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T1</th>                    <td>   -2.2624</td> <td>    0.685</td> <td>   -3.303</td> <td> 0.001</td> <td>   -3.605</td> <td>   -0.920</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T2</th>                    <td>   -2.8445</td> <td>    0.695</td> <td>   -4.096</td> <td> 0.000</td> <td>   -4.206</td> <td>   -1.483</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T3</th>                    <td>   -1.4015</td> <td>    0.801</td> <td>   -1.750</td> <td> 0.080</td> <td>   -2.972</td> <td>    0.169</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T4</th>                    <td>   -1.6214</td> <td>    0.668</td> <td>   -2.428</td> <td> 0.015</td> <td>   -2.930</td> <td>   -0.312</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T5</th>                    <td>   -2.3381</td> <td>    0.712</td> <td>   -3.284</td> <td> 0.001</td> <td>   -3.734</td> <td>   -0.942</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T6</th>                    <td>   -1.8230</td> <td>    0.774</td> <td>   -2.356</td> <td> 0.019</td> <td>   -3.340</td> <td>   -0.306</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T7</th>                    <td>   -2.7535</td> <td>    0.719</td> <td>   -3.830</td> <td> 0.000</td> <td>   -4.163</td> <td>   -1.344</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T8</th>                    <td>   -1.2197</td> <td>    0.610</td> <td>   -2.001</td> <td> 0.045</td> <td>   -2.415</td> <td>   -0.025</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T9</th>                    <td>   -1.9270</td> <td>    0.701</td> <td>   -2.751</td> <td> 0.006</td> <td>   -3.300</td> <td>   -0.554</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T10</th>                   <td>   -2.6897</td> <td>    0.713</td> <td>   -3.775</td> <td> 0.000</td> <td>   -4.087</td> <td>   -1.293</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T11</th>                   <td>   -2.5093</td> <td>    0.688</td> <td>   -3.646</td> <td> 0.000</td> <td>   -3.859</td> <td>   -1.160</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T12</th>                   <td>   -1.0080</td> <td>    0.765</td> <td>   -1.317</td> <td> 0.188</td> <td>   -2.508</td> <td>    0.492</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T13</th>                   <td>   -1.5088</td> <td>    0.662</td> <td>   -2.280</td> <td> 0.023</td> <td>   -2.806</td> <td>   -0.212</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T14</th>                   <td>   -0.9851</td> <td>    0.722</td> <td>   -1.365</td> <td> 0.172</td> <td>   -2.400</td> <td>    0.430</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T15</th>                   <td>    0.0510</td> <td>    0.693</td> <td>    0.074</td> <td> 0.941</td> <td>   -1.308</td> <td>    1.410</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T16</th>                   <td>   -2.2164</td> <td>    0.650</td> <td>   -3.411</td> <td> 0.001</td> <td>   -3.490</td> <td>   -0.943</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T17</th>                   <td>   -1.0397</td> <td>    0.672</td> <td>   -1.547</td> <td> 0.122</td> <td>   -2.357</td> <td>    0.278</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T18</th>                   <td>    0.0859</td> <td>    0.693</td> <td>    0.124</td> <td> 0.901</td> <td>   -1.273</td> <td>    1.445</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T19</th>                   <td>   -1.3269</td> <td>    0.722</td> <td>   -1.838</td> <td> 0.066</td> <td>   -2.742</td> <td>    0.088</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T20</th>                   <td>   -2.5209</td> <td>    0.759</td> <td>   -3.320</td> <td> 0.001</td> <td>   -4.009</td> <td>   -1.032</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T21</th>                   <td>   -1.6641</td> <td>    0.667</td> <td>   -2.495</td> <td> 0.013</td> <td>   -2.971</td> <td>   -0.357</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T22</th>                   <td>   -2.0218</td> <td>    0.741</td> <td>   -2.728</td> <td> 0.006</td> <td>   -3.475</td> <td>   -0.569</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T23</th>                   <td>   -0.6444</td> <td>    0.642</td> <td>   -1.004</td> <td> 0.316</td> <td>   -1.903</td> <td>    0.614</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T24</th>                   <td>   -1.6221</td> <td>    0.672</td> <td>   -2.415</td> <td> 0.016</td> <td>   -2.939</td> <td>   -0.305</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T25</th>                   <td>   -1.3519</td> <td>    0.759</td> <td>   -1.782</td> <td> 0.075</td> <td>   -2.839</td> <td>    0.135</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T26</th>                   <td>   -1.2690</td> <td>    0.540</td> <td>   -2.349</td> <td> 0.019</td> <td>   -2.328</td> <td>   -0.210</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T27</th>                   <td>   -1.3519</td> <td>    0.753</td> <td>   -1.796</td> <td> 0.072</td> <td>   -2.827</td> <td>    0.123</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T28</th>                   <td>   -0.7392</td> <td>    0.705</td> <td>   -1.049</td> <td> 0.294</td> <td>   -2.121</td> <td>    0.643</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T29</th>                   <td>   -0.8743</td> <td>    0.727</td> <td>   -1.203</td> <td> 0.229</td> <td>   -2.299</td> <td>    0.551</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T30</th>                   <td>   -2.3374</td> <td>    0.762</td> <td>   -3.069</td> <td> 0.002</td> <td>   -3.830</td> <td>   -0.844</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T31</th>                   <td>   -2.4757</td> <td>    0.668</td> <td>   -3.705</td> <td> 0.000</td> <td>   -3.786</td> <td>   -1.166</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T32</th>                   <td>   -0.9814</td> <td>    0.703</td> <td>   -1.395</td> <td> 0.163</td> <td>   -2.360</td> <td>    0.398</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T33</th>                   <td>   -1.2348</td> <td>    0.751</td> <td>   -1.644</td> <td> 0.100</td> <td>   -2.707</td> <td>    0.238</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T34</th>                   <td>   -0.9474</td> <td>    0.653</td> <td>   -1.450</td> <td> 0.147</td> <td>   -2.228</td> <td>    0.333</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T35</th>                   <td>   -1.0768</td> <td>    0.634</td> <td>   -1.697</td> <td> 0.090</td> <td>   -2.321</td> <td>    0.167</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T36</th>                   <td>   -1.0738</td> <td>    0.651</td> <td>   -1.651</td> <td> 0.099</td> <td>   -2.349</td> <td>    0.202</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T37</th>                   <td>   -0.8022</td> <td>    0.656</td> <td>   -1.223</td> <td> 0.221</td> <td>   -2.088</td> <td>    0.483</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T38</th>                   <td>   -0.5310</td> <td>    0.633</td> <td>   -0.839</td> <td> 0.402</td> <td>   -1.772</td> <td>    0.710</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T39</th>                   <td>   -0.8931</td> <td>    0.770</td> <td>   -1.160</td> <td> 0.246</td> <td>   -2.402</td> <td>    0.616</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T40</th>                   <td>    0.4571</td> <td>    0.757</td> <td>    0.604</td> <td> 0.546</td> <td>   -1.026</td> <td>    1.940</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T41</th>                   <td>   -0.2764</td> <td>    0.639</td> <td>   -0.433</td> <td> 0.665</td> <td>   -1.529</td> <td>    0.976</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T42</th>                   <td>   -1.7012</td> <td>    0.699</td> <td>   -2.434</td> <td> 0.015</td> <td>   -3.071</td> <td>   -0.331</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T43</th>                   <td>   -0.9348</td> <td>    0.645</td> <td>   -1.449</td> <td> 0.148</td> <td>   -2.200</td> <td>    0.330</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T44</th>                   <td>   -0.9976</td> <td>    0.516</td> <td>   -1.934</td> <td> 0.053</td> <td>   -2.009</td> <td>    0.014</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T45</th>                   <td>    0.6929</td> <td>    0.647</td> <td>    1.070</td> <td> 0.285</td> <td>   -0.576</td> <td>    1.962</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T46</th>                   <td>   -1.2966</td> <td>    0.601</td> <td>   -2.159</td> <td> 0.031</td> <td>   -2.474</td> <td>   -0.119</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T47</th>                   <td>   -1.1114</td> <td>    0.466</td> <td>   -2.383</td> <td> 0.017</td> <td>   -2.026</td> <td>   -0.197</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T48</th>                   <td>   -1.0176</td> <td>    0.585</td> <td>   -1.739</td> <td> 0.082</td> <td>   -2.165</td> <td>    0.130</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T49</th>                   <td>   -0.8838</td> <td>    0.504</td> <td>   -1.755</td> <td> 0.079</td> <td>   -1.871</td> <td>    0.104</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>16.538</td> <th>  Durbin-Watson:     </th> <td>   1.871</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.000</td> <th>  Jarque-Bera (JB):  </th> <td>  19.686</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td>-0.063</td> <th>  Prob(JB):          </th> <td>5.31e-05</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 3.272</td> <th>  Cond. No.          </th> <td>4.41e+04</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.<br/>[2] The condition number is large, 4.41e+04. This might indicate that there are<br/>strong multicollinearity or other numerical problems."
      ],
      "text/latex": [
       "\\begin{center}\n",
       "\\begin{tabular}{lclc}\n",
       "\\toprule\n",
       "\\textbf{Dep. Variable:}          & Citations\\_Received & \\textbf{  R-squared:         } &     0.446   \\\\\n",
       "\\textbf{Model:}                  &         OLS         & \\textbf{  Adj. R-squared:    } &     0.438   \\\\\n",
       "\\textbf{Method:}                 &    Least Squares    & \\textbf{  F-statistic:       } &     60.37   \\\\\n",
       "\\textbf{Date:}                   &   Sat, 28 Sep 2024  & \\textbf{  Prob (F-statistic):} &     0.00    \\\\\n",
       "\\textbf{Time:}                   &       22:25:11      & \\textbf{  Log-Likelihood:    } &   -3149.6   \\\\\n",
       "\\textbf{No. Observations:}       &          5249       & \\textbf{  AIC:               } &     6439.   \\\\\n",
       "\\textbf{Df Residuals:}           &          5179       & \\textbf{  BIC:               } &     6899.   \\\\\n",
       "\\textbf{Df Model:}               &            69       & \\textbf{                     } &             \\\\\n",
       "\\textbf{Covariance Type:}        &      nonrobust      & \\textbf{                     } &             \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lcccccc}\n",
       "                                 & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]}  \\\\\n",
       "\\midrule\n",
       "\\textbf{Const}                   &       1.4157  &        0.404     &     3.502  &         0.000        &        0.623    &        2.208     \\\\\n",
       "\\textbf{FA\\_Female}              &       0.0276  &        0.014     &     1.958  &         0.050        &    -3.91e-05    &        0.055     \\\\\n",
       "\\textbf{FA\\_European}            &       0.0236  &        0.016     &     1.456  &         0.146        &       -0.008    &        0.055     \\\\\n",
       "\\textbf{FA\\_Asian}               &      -0.0248  &        0.027     &    -0.910  &         0.363        &       -0.078    &        0.029     \\\\\n",
       "\\textbf{FA\\_Slavic}              &      -0.0372  &        0.029     &    -1.276  &         0.202        &       -0.094    &        0.020     \\\\\n",
       "\\textbf{FA\\_Hispanic/Latino}     &      -0.0173  &        0.029     &    -0.598  &         0.550        &       -0.074    &        0.039     \\\\\n",
       "\\textbf{FA\\_African}             &      -0.0522  &        0.037     &    -1.416  &         0.157        &       -0.124    &        0.020     \\\\\n",
       "\\textbf{FA\\_Jewish}              &      -0.0612  &        0.035     &    -1.737  &         0.083        &       -0.130    &        0.008     \\\\\n",
       "\\textbf{FA\\_Other}               &      -0.0032  &        0.033     &    -0.095  &         0.925        &       -0.069    &        0.062     \\\\\n",
       "\\textbf{Mixed\\_Gender}           &      -0.0323  &        0.020     &    -1.621  &         0.105        &       -0.071    &        0.007     \\\\\n",
       "\\textbf{Cross\\_Ethnic}           &       0.0464  &        0.019     &     2.421  &         0.015        &        0.009    &        0.084     \\\\\n",
       "\\textbf{Cross\\_Regional}         &      -0.0636  &        0.056     &    -1.135  &         0.257        &       -0.173    &        0.046     \\\\\n",
       "\\textbf{International}           &       0.0496  &        0.023     &     2.190  &         0.029        &        0.005    &        0.094     \\\\\n",
       "\\textbf{Cited\\_Outgroup}         &       0.0068  &        0.043     &     0.160  &         0.873        &       -0.077    &        0.091     \\\\\n",
       "\\textbf{Team\\_Size}              &       0.0739  &        0.012     &     5.941  &         0.000        &        0.049    &        0.098     \\\\\n",
       "\\textbf{Cited\\_References}       &       0.0035  &        0.000     &    15.128  &         0.000        &        0.003    &        0.004     \\\\\n",
       "\\textbf{FA\\_Author\\_Reputation}  &       0.0010  &        0.000     &     9.362  &         0.000        &        0.001    &        0.001     \\\\\n",
       "\\textbf{FA\\_Author\\_Publication} &       0.0112  &        0.003     &     4.256  &         0.000        &        0.006    &        0.016     \\\\\n",
       "\\textbf{Article\\_Age}            &       0.0352  &        0.002     &    18.553  &         0.000        &        0.031    &        0.039     \\\\\n",
       "\\textbf{Journal\\_Prestige}       &       0.0104  &        0.000     &    33.218  &         0.000        &        0.010    &        0.011     \\\\\n",
       "\\textbf{FA\\_Affliation\\_Weight}  &      -1.6256  &        3.518     &    -0.462  &         0.644        &       -8.522    &        5.271     \\\\\n",
       "\\textbf{T1}                      &      -2.2624  &        0.685     &    -3.303  &         0.001        &       -3.605    &       -0.920     \\\\\n",
       "\\textbf{T2}                      &      -2.8445  &        0.695     &    -4.096  &         0.000        &       -4.206    &       -1.483     \\\\\n",
       "\\textbf{T3}                      &      -1.4015  &        0.801     &    -1.750  &         0.080        &       -2.972    &        0.169     \\\\\n",
       "\\textbf{T4}                      &      -1.6214  &        0.668     &    -2.428  &         0.015        &       -2.930    &       -0.312     \\\\\n",
       "\\textbf{T5}                      &      -2.3381  &        0.712     &    -3.284  &         0.001        &       -3.734    &       -0.942     \\\\\n",
       "\\textbf{T6}                      &      -1.8230  &        0.774     &    -2.356  &         0.019        &       -3.340    &       -0.306     \\\\\n",
       "\\textbf{T7}                      &      -2.7535  &        0.719     &    -3.830  &         0.000        &       -4.163    &       -1.344     \\\\\n",
       "\\textbf{T8}                      &      -1.2197  &        0.610     &    -2.001  &         0.045        &       -2.415    &       -0.025     \\\\\n",
       "\\textbf{T9}                      &      -1.9270  &        0.701     &    -2.751  &         0.006        &       -3.300    &       -0.554     \\\\\n",
       "\\textbf{T10}                     &      -2.6897  &        0.713     &    -3.775  &         0.000        &       -4.087    &       -1.293     \\\\\n",
       "\\textbf{T11}                     &      -2.5093  &        0.688     &    -3.646  &         0.000        &       -3.859    &       -1.160     \\\\\n",
       "\\textbf{T12}                     &      -1.0080  &        0.765     &    -1.317  &         0.188        &       -2.508    &        0.492     \\\\\n",
       "\\textbf{T13}                     &      -1.5088  &        0.662     &    -2.280  &         0.023        &       -2.806    &       -0.212     \\\\\n",
       "\\textbf{T14}                     &      -0.9851  &        0.722     &    -1.365  &         0.172        &       -2.400    &        0.430     \\\\\n",
       "\\textbf{T15}                     &       0.0510  &        0.693     &     0.074  &         0.941        &       -1.308    &        1.410     \\\\\n",
       "\\textbf{T16}                     &      -2.2164  &        0.650     &    -3.411  &         0.001        &       -3.490    &       -0.943     \\\\\n",
       "\\textbf{T17}                     &      -1.0397  &        0.672     &    -1.547  &         0.122        &       -2.357    &        0.278     \\\\\n",
       "\\textbf{T18}                     &       0.0859  &        0.693     &     0.124  &         0.901        &       -1.273    &        1.445     \\\\\n",
       "\\textbf{T19}                     &      -1.3269  &        0.722     &    -1.838  &         0.066        &       -2.742    &        0.088     \\\\\n",
       "\\textbf{T20}                     &      -2.5209  &        0.759     &    -3.320  &         0.001        &       -4.009    &       -1.032     \\\\\n",
       "\\textbf{T21}                     &      -1.6641  &        0.667     &    -2.495  &         0.013        &       -2.971    &       -0.357     \\\\\n",
       "\\textbf{T22}                     &      -2.0218  &        0.741     &    -2.728  &         0.006        &       -3.475    &       -0.569     \\\\\n",
       "\\textbf{T23}                     &      -0.6444  &        0.642     &    -1.004  &         0.316        &       -1.903    &        0.614     \\\\\n",
       "\\textbf{T24}                     &      -1.6221  &        0.672     &    -2.415  &         0.016        &       -2.939    &       -0.305     \\\\\n",
       "\\textbf{T25}                     &      -1.3519  &        0.759     &    -1.782  &         0.075        &       -2.839    &        0.135     \\\\\n",
       "\\textbf{T26}                     &      -1.2690  &        0.540     &    -2.349  &         0.019        &       -2.328    &       -0.210     \\\\\n",
       "\\textbf{T27}                     &      -1.3519  &        0.753     &    -1.796  &         0.072        &       -2.827    &        0.123     \\\\\n",
       "\\textbf{T28}                     &      -0.7392  &        0.705     &    -1.049  &         0.294        &       -2.121    &        0.643     \\\\\n",
       "\\textbf{T29}                     &      -0.8743  &        0.727     &    -1.203  &         0.229        &       -2.299    &        0.551     \\\\\n",
       "\\textbf{T30}                     &      -2.3374  &        0.762     &    -3.069  &         0.002        &       -3.830    &       -0.844     \\\\\n",
       "\\textbf{T31}                     &      -2.4757  &        0.668     &    -3.705  &         0.000        &       -3.786    &       -1.166     \\\\\n",
       "\\textbf{T32}                     &      -0.9814  &        0.703     &    -1.395  &         0.163        &       -2.360    &        0.398     \\\\\n",
       "\\textbf{T33}                     &      -1.2348  &        0.751     &    -1.644  &         0.100        &       -2.707    &        0.238     \\\\\n",
       "\\textbf{T34}                     &      -0.9474  &        0.653     &    -1.450  &         0.147        &       -2.228    &        0.333     \\\\\n",
       "\\textbf{T35}                     &      -1.0768  &        0.634     &    -1.697  &         0.090        &       -2.321    &        0.167     \\\\\n",
       "\\textbf{T36}                     &      -1.0738  &        0.651     &    -1.651  &         0.099        &       -2.349    &        0.202     \\\\\n",
       "\\textbf{T37}                     &      -0.8022  &        0.656     &    -1.223  &         0.221        &       -2.088    &        0.483     \\\\\n",
       "\\textbf{T38}                     &      -0.5310  &        0.633     &    -0.839  &         0.402        &       -1.772    &        0.710     \\\\\n",
       "\\textbf{T39}                     &      -0.8931  &        0.770     &    -1.160  &         0.246        &       -2.402    &        0.616     \\\\\n",
       "\\textbf{T40}                     &       0.4571  &        0.757     &     0.604  &         0.546        &       -1.026    &        1.940     \\\\\n",
       "\\textbf{T41}                     &      -0.2764  &        0.639     &    -0.433  &         0.665        &       -1.529    &        0.976     \\\\\n",
       "\\textbf{T42}                     &      -1.7012  &        0.699     &    -2.434  &         0.015        &       -3.071    &       -0.331     \\\\\n",
       "\\textbf{T43}                     &      -0.9348  &        0.645     &    -1.449  &         0.148        &       -2.200    &        0.330     \\\\\n",
       "\\textbf{T44}                     &      -0.9976  &        0.516     &    -1.934  &         0.053        &       -2.009    &        0.014     \\\\\n",
       "\\textbf{T45}                     &       0.6929  &        0.647     &     1.070  &         0.285        &       -0.576    &        1.962     \\\\\n",
       "\\textbf{T46}                     &      -1.2966  &        0.601     &    -2.159  &         0.031        &       -2.474    &       -0.119     \\\\\n",
       "\\textbf{T47}                     &      -1.1114  &        0.466     &    -2.383  &         0.017        &       -2.026    &       -0.197     \\\\\n",
       "\\textbf{T48}                     &      -1.0176  &        0.585     &    -1.739  &         0.082        &       -2.165    &        0.130     \\\\\n",
       "\\textbf{T49}                     &      -0.8838  &        0.504     &    -1.755  &         0.079        &       -1.871    &        0.104     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lclc}\n",
       "\\textbf{Omnibus:}       & 16.538 & \\textbf{  Durbin-Watson:     } &    1.871  \\\\\n",
       "\\textbf{Prob(Omnibus):} &  0.000 & \\textbf{  Jarque-Bera (JB):  } &   19.686  \\\\\n",
       "\\textbf{Skew:}          & -0.063 & \\textbf{  Prob(JB):          } & 5.31e-05  \\\\\n",
       "\\textbf{Kurtosis:}      &  3.272 & \\textbf{  Cond. No.          } & 4.41e+04  \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "%\\caption{OLS Regression Results}\n",
       "\\end{center}\n",
       "\n",
       "Notes: \\newline\n",
       " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
       " [2] The condition number is large, 4.41e+04. This might indicate that there are \\newline\n",
       " strong multicollinearity or other numerical problems."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:     Citations_Received   R-squared:                       0.446\n",
       "Model:                            OLS   Adj. R-squared:                  0.438\n",
       "Method:                 Least Squares   F-statistic:                     60.37\n",
       "Date:                Sat, 28 Sep 2024   Prob (F-statistic):               0.00\n",
       "Time:                        22:25:11   Log-Likelihood:                -3149.6\n",
       "No. Observations:                5249   AIC:                             6439.\n",
       "Df Residuals:                    5179   BIC:                             6899.\n",
       "Df Model:                          69                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "=========================================================================================\n",
       "                            coef    std err          t      P>|t|      [0.025      0.975]\n",
       "-----------------------------------------------------------------------------------------\n",
       "Const                     1.4157      0.404      3.502      0.000       0.623       2.208\n",
       "FA_Female                 0.0276      0.014      1.958      0.050   -3.91e-05       0.055\n",
       "FA_European               0.0236      0.016      1.456      0.146      -0.008       0.055\n",
       "FA_Asian                 -0.0248      0.027     -0.910      0.363      -0.078       0.029\n",
       "FA_Slavic                -0.0372      0.029     -1.276      0.202      -0.094       0.020\n",
       "FA_Hispanic/Latino       -0.0173      0.029     -0.598      0.550      -0.074       0.039\n",
       "FA_African               -0.0522      0.037     -1.416      0.157      -0.124       0.020\n",
       "FA_Jewish                -0.0612      0.035     -1.737      0.083      -0.130       0.008\n",
       "FA_Other                 -0.0032      0.033     -0.095      0.925      -0.069       0.062\n",
       "Mixed_Gender             -0.0323      0.020     -1.621      0.105      -0.071       0.007\n",
       "Cross_Ethnic              0.0464      0.019      2.421      0.015       0.009       0.084\n",
       "Cross_Regional           -0.0636      0.056     -1.135      0.257      -0.173       0.046\n",
       "International             0.0496      0.023      2.190      0.029       0.005       0.094\n",
       "Cited_Outgroup            0.0068      0.043      0.160      0.873      -0.077       0.091\n",
       "Team_Size                 0.0739      0.012      5.941      0.000       0.049       0.098\n",
       "Cited_References          0.0035      0.000     15.128      0.000       0.003       0.004\n",
       "FA_Author_Reputation      0.0010      0.000      9.362      0.000       0.001       0.001\n",
       "FA_Author_Publication     0.0112      0.003      4.256      0.000       0.006       0.016\n",
       "Article_Age               0.0352      0.002     18.553      0.000       0.031       0.039\n",
       "Journal_Prestige          0.0104      0.000     33.218      0.000       0.010       0.011\n",
       "FA_Affliation_Weight     -1.6256      3.518     -0.462      0.644      -8.522       5.271\n",
       "T1                       -2.2624      0.685     -3.303      0.001      -3.605      -0.920\n",
       "T2                       -2.8445      0.695     -4.096      0.000      -4.206      -1.483\n",
       "T3                       -1.4015      0.801     -1.750      0.080      -2.972       0.169\n",
       "T4                       -1.6214      0.668     -2.428      0.015      -2.930      -0.312\n",
       "T5                       -2.3381      0.712     -3.284      0.001      -3.734      -0.942\n",
       "T6                       -1.8230      0.774     -2.356      0.019      -3.340      -0.306\n",
       "T7                       -2.7535      0.719     -3.830      0.000      -4.163      -1.344\n",
       "T8                       -1.2197      0.610     -2.001      0.045      -2.415      -0.025\n",
       "T9                       -1.9270      0.701     -2.751      0.006      -3.300      -0.554\n",
       "T10                      -2.6897      0.713     -3.775      0.000      -4.087      -1.293\n",
       "T11                      -2.5093      0.688     -3.646      0.000      -3.859      -1.160\n",
       "T12                      -1.0080      0.765     -1.317      0.188      -2.508       0.492\n",
       "T13                      -1.5088      0.662     -2.280      0.023      -2.806      -0.212\n",
       "T14                      -0.9851      0.722     -1.365      0.172      -2.400       0.430\n",
       "T15                       0.0510      0.693      0.074      0.941      -1.308       1.410\n",
       "T16                      -2.2164      0.650     -3.411      0.001      -3.490      -0.943\n",
       "T17                      -1.0397      0.672     -1.547      0.122      -2.357       0.278\n",
       "T18                       0.0859      0.693      0.124      0.901      -1.273       1.445\n",
       "T19                      -1.3269      0.722     -1.838      0.066      -2.742       0.088\n",
       "T20                      -2.5209      0.759     -3.320      0.001      -4.009      -1.032\n",
       "T21                      -1.6641      0.667     -2.495      0.013      -2.971      -0.357\n",
       "T22                      -2.0218      0.741     -2.728      0.006      -3.475      -0.569\n",
       "T23                      -0.6444      0.642     -1.004      0.316      -1.903       0.614\n",
       "T24                      -1.6221      0.672     -2.415      0.016      -2.939      -0.305\n",
       "T25                      -1.3519      0.759     -1.782      0.075      -2.839       0.135\n",
       "T26                      -1.2690      0.540     -2.349      0.019      -2.328      -0.210\n",
       "T27                      -1.3519      0.753     -1.796      0.072      -2.827       0.123\n",
       "T28                      -0.7392      0.705     -1.049      0.294      -2.121       0.643\n",
       "T29                      -0.8743      0.727     -1.203      0.229      -2.299       0.551\n",
       "T30                      -2.3374      0.762     -3.069      0.002      -3.830      -0.844\n",
       "T31                      -2.4757      0.668     -3.705      0.000      -3.786      -1.166\n",
       "T32                      -0.9814      0.703     -1.395      0.163      -2.360       0.398\n",
       "T33                      -1.2348      0.751     -1.644      0.100      -2.707       0.238\n",
       "T34                      -0.9474      0.653     -1.450      0.147      -2.228       0.333\n",
       "T35                      -1.0768      0.634     -1.697      0.090      -2.321       0.167\n",
       "T36                      -1.0738      0.651     -1.651      0.099      -2.349       0.202\n",
       "T37                      -0.8022      0.656     -1.223      0.221      -2.088       0.483\n",
       "T38                      -0.5310      0.633     -0.839      0.402      -1.772       0.710\n",
       "T39                      -0.8931      0.770     -1.160      0.246      -2.402       0.616\n",
       "T40                       0.4571      0.757      0.604      0.546      -1.026       1.940\n",
       "T41                      -0.2764      0.639     -0.433      0.665      -1.529       0.976\n",
       "T42                      -1.7012      0.699     -2.434      0.015      -3.071      -0.331\n",
       "T43                      -0.9348      0.645     -1.449      0.148      -2.200       0.330\n",
       "T44                      -0.9976      0.516     -1.934      0.053      -2.009       0.014\n",
       "T45                       0.6929      0.647      1.070      0.285      -0.576       1.962\n",
       "T46                      -1.2966      0.601     -2.159      0.031      -2.474      -0.119\n",
       "T47                      -1.1114      0.466     -2.383      0.017      -2.026      -0.197\n",
       "T48                      -1.0176      0.585     -1.739      0.082      -2.165       0.130\n",
       "T49                      -0.8838      0.504     -1.755      0.079      -1.871       0.104\n",
       "==============================================================================\n",
       "Omnibus:                       16.538   Durbin-Watson:                   1.871\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):               19.686\n",
       "Skew:                          -0.063   Prob(JB):                     5.31e-05\n",
       "Kurtosis:                       3.272   Cond. No.                     4.41e+04\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "[2] The condition number is large, 4.41e+04. This might indicate that there are\n",
       "strong multicollinearity or other numerical problems.\n",
       "\"\"\""
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Model 3: FA-based Top 10 Institution Model\n",
    "model_3 = sm.OLS(np.log10(regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top10_Inst'])]['Citations_Received']+1),\n",
    "               regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top10_Inst'])][['Const','FA_Female','FA_European', 'FA_Asian', 'FA_Slavic', 'FA_Hispanic/Latino', 'FA_African', 'FA_Jewish','FA_Other',\n",
    "                                                                                                                        'Mixed_Gender','Cross_Ethnic','Cross_Regional','International','Cited_Outgroup',\n",
    "                                                                                                                        'Team_Size', 'Cited_References','FA_Author_Reputation','FA_Author_Publication','Article_Age','Journal_Prestige','FA_Affliation_Weight']+['T'+str(i) for i in range(1,50)]],missing='drop')\n",
    "results_3 = model_3.fit(maxiter=100)\n",
    "results_3.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "658f8f79-90e3-474d-88bb-1c6b684ac921",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>    <td>Citations_Received</td> <th>  R-squared:         </th> <td>   0.425</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                    <td>OLS</td>        <th>  Adj. R-squared:    </th> <td>   0.422</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>              <td>Least Squares</td>   <th>  F-statistic:       </th> <td>   168.4</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>              <td>Sat, 28 Sep 2024</td>  <th>  Prob (F-statistic):</th>  <td>  0.00</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                  <td>22:25:12</td>      <th>  Log-Likelihood:    </th> <td> -9009.5</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>       <td> 16025</td>       <th>  AIC:               </th> <td>1.816e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>           <td> 15954</td>       <th>  BIC:               </th> <td>1.871e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>               <td>    70</td>       <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>       <td>nonrobust</td>     <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "            <td></td>               <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Const</th>                 <td>    1.0754</td> <td>    0.237</td> <td>    4.546</td> <td> 0.000</td> <td>    0.612</td> <td>    1.539</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Female</th>             <td>    0.0391</td> <td>    0.008</td> <td>    5.036</td> <td> 0.000</td> <td>    0.024</td> <td>    0.054</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_European</th>           <td>   -0.0135</td> <td>    0.009</td> <td>   -1.550</td> <td> 0.121</td> <td>   -0.031</td> <td>    0.004</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Asian</th>              <td>   -0.0618</td> <td>    0.015</td> <td>   -4.026</td> <td> 0.000</td> <td>   -0.092</td> <td>   -0.032</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Slavic</th>             <td>   -0.0630</td> <td>    0.017</td> <td>   -3.741</td> <td> 0.000</td> <td>   -0.096</td> <td>   -0.030</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Hispanic/Latino</th>    <td>   -0.0455</td> <td>    0.017</td> <td>   -2.716</td> <td> 0.007</td> <td>   -0.078</td> <td>   -0.013</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_African</th>            <td>   -0.0906</td> <td>    0.018</td> <td>   -4.928</td> <td> 0.000</td> <td>   -0.127</td> <td>   -0.055</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Jewish</th>             <td>   -0.0779</td> <td>    0.019</td> <td>   -4.012</td> <td> 0.000</td> <td>   -0.116</td> <td>   -0.040</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Other</th>              <td>   -0.0271</td> <td>    0.019</td> <td>   -1.411</td> <td> 0.158</td> <td>   -0.065</td> <td>    0.011</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_South</th>              <td>    0.1368</td> <td>    0.119</td> <td>    1.152</td> <td> 0.250</td> <td>   -0.096</td> <td>    0.370</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Mixed_Gender</th>          <td>   -0.0074</td> <td>    0.011</td> <td>   -0.665</td> <td> 0.506</td> <td>   -0.029</td> <td>    0.014</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Ethnic</th>          <td>    0.0297</td> <td>    0.011</td> <td>    2.810</td> <td> 0.005</td> <td>    0.009</td> <td>    0.050</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Regional</th>        <td>   -0.0738</td> <td>    0.029</td> <td>   -2.585</td> <td> 0.010</td> <td>   -0.130</td> <td>   -0.018</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>International</th>         <td>    0.0605</td> <td>    0.013</td> <td>    4.838</td> <td> 0.000</td> <td>    0.036</td> <td>    0.085</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_Outgroup</th>        <td>    0.0431</td> <td>    0.023</td> <td>    1.885</td> <td> 0.060</td> <td>   -0.002</td> <td>    0.088</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Size</th>             <td>    0.0535</td> <td>    0.007</td> <td>    7.952</td> <td> 0.000</td> <td>    0.040</td> <td>    0.067</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_References</th>      <td>    0.0033</td> <td>    0.000</td> <td>   25.709</td> <td> 0.000</td> <td>    0.003</td> <td>    0.004</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Article_Age</th>           <td>    0.0348</td> <td>    0.001</td> <td>   33.324</td> <td> 0.000</td> <td>    0.033</td> <td>    0.037</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Journal_Prestige</th>      <td>    0.0103</td> <td>    0.000</td> <td>   54.220</td> <td> 0.000</td> <td>    0.010</td> <td>    0.011</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Publication</th> <td>    0.0100</td> <td>    0.001</td> <td>    7.292</td> <td> 0.000</td> <td>    0.007</td> <td>    0.013</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Reputation</th>  <td>    0.0013</td> <td> 7.57e-05</td> <td>   17.379</td> <td> 0.000</td> <td>    0.001</td> <td>    0.001</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Affliation_Weight</th>  <td>    4.4288</td> <td>    1.513</td> <td>    2.927</td> <td> 0.003</td> <td>    1.463</td> <td>    7.395</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T1</th>                    <td>   -1.5530</td> <td>    0.386</td> <td>   -4.024</td> <td> 0.000</td> <td>   -2.310</td> <td>   -0.796</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T2</th>                    <td>   -1.9809</td> <td>    0.395</td> <td>   -5.021</td> <td> 0.000</td> <td>   -2.754</td> <td>   -1.208</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T3</th>                    <td>   -1.6553</td> <td>    0.441</td> <td>   -3.752</td> <td> 0.000</td> <td>   -2.520</td> <td>   -0.790</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T4</th>                    <td>   -1.3292</td> <td>    0.368</td> <td>   -3.611</td> <td> 0.000</td> <td>   -2.051</td> <td>   -0.608</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T5</th>                    <td>   -1.4838</td> <td>    0.413</td> <td>   -3.595</td> <td> 0.000</td> <td>   -2.293</td> <td>   -0.675</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T6</th>                    <td>   -0.6407</td> <td>    0.431</td> <td>   -1.485</td> <td> 0.137</td> <td>   -1.486</td> <td>    0.205</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T7</th>                    <td>   -1.9563</td> <td>    0.404</td> <td>   -4.838</td> <td> 0.000</td> <td>   -2.749</td> <td>   -1.164</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T8</th>                    <td>   -1.4572</td> <td>    0.344</td> <td>   -4.241</td> <td> 0.000</td> <td>   -2.131</td> <td>   -0.784</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T9</th>                    <td>   -1.5416</td> <td>    0.390</td> <td>   -3.948</td> <td> 0.000</td> <td>   -2.307</td> <td>   -0.776</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T10</th>                   <td>   -2.3069</td> <td>    0.399</td> <td>   -5.784</td> <td> 0.000</td> <td>   -3.089</td> <td>   -1.525</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T11</th>                   <td>   -1.8638</td> <td>    0.397</td> <td>   -4.691</td> <td> 0.000</td> <td>   -2.643</td> <td>   -1.085</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T12</th>                   <td>   -1.3019</td> <td>    0.423</td> <td>   -3.077</td> <td> 0.002</td> <td>   -2.131</td> <td>   -0.473</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T13</th>                   <td>   -1.1191</td> <td>    0.363</td> <td>   -3.085</td> <td> 0.002</td> <td>   -1.830</td> <td>   -0.408</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T14</th>                   <td>   -1.7739</td> <td>    0.400</td> <td>   -4.437</td> <td> 0.000</td> <td>   -2.558</td> <td>   -0.990</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T15</th>                   <td>   -0.0790</td> <td>    0.387</td> <td>   -0.204</td> <td> 0.838</td> <td>   -0.838</td> <td>    0.680</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T16</th>                   <td>   -1.5200</td> <td>    0.353</td> <td>   -4.307</td> <td> 0.000</td> <td>   -2.212</td> <td>   -0.828</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T17</th>                   <td>   -0.3102</td> <td>    0.388</td> <td>   -0.800</td> <td> 0.423</td> <td>   -1.070</td> <td>    0.449</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T18</th>                   <td>   -0.4008</td> <td>    0.379</td> <td>   -1.059</td> <td> 0.290</td> <td>   -1.143</td> <td>    0.341</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T19</th>                   <td>   -0.6756</td> <td>    0.400</td> <td>   -1.689</td> <td> 0.091</td> <td>   -1.459</td> <td>    0.108</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T20</th>                   <td>   -1.6496</td> <td>    0.430</td> <td>   -3.832</td> <td> 0.000</td> <td>   -2.493</td> <td>   -0.806</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T21</th>                   <td>   -1.2322</td> <td>    0.365</td> <td>   -3.375</td> <td> 0.001</td> <td>   -1.948</td> <td>   -0.517</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T22</th>                   <td>   -1.8381</td> <td>    0.405</td> <td>   -4.538</td> <td> 0.000</td> <td>   -2.632</td> <td>   -1.044</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T23</th>                   <td>   -0.2186</td> <td>    0.364</td> <td>   -0.600</td> <td> 0.548</td> <td>   -0.932</td> <td>    0.495</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T24</th>                   <td>   -1.3432</td> <td>    0.378</td> <td>   -3.556</td> <td> 0.000</td> <td>   -2.084</td> <td>   -0.603</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T25</th>                   <td>   -1.3928</td> <td>    0.409</td> <td>   -3.408</td> <td> 0.001</td> <td>   -2.194</td> <td>   -0.592</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T26</th>                   <td>   -1.0239</td> <td>    0.303</td> <td>   -3.384</td> <td> 0.001</td> <td>   -1.617</td> <td>   -0.431</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T27</th>                   <td>   -1.2507</td> <td>    0.412</td> <td>   -3.037</td> <td> 0.002</td> <td>   -2.058</td> <td>   -0.443</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T28</th>                   <td>   -0.5279</td> <td>    0.388</td> <td>   -1.361</td> <td> 0.174</td> <td>   -1.288</td> <td>    0.232</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T29</th>                   <td>   -0.5228</td> <td>    0.414</td> <td>   -1.262</td> <td> 0.207</td> <td>   -1.335</td> <td>    0.289</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T30</th>                   <td>   -2.0898</td> <td>    0.416</td> <td>   -5.022</td> <td> 0.000</td> <td>   -2.905</td> <td>   -1.274</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T31</th>                   <td>   -1.7576</td> <td>    0.375</td> <td>   -4.685</td> <td> 0.000</td> <td>   -2.493</td> <td>   -1.022</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T32</th>                   <td>   -0.5481</td> <td>    0.383</td> <td>   -1.430</td> <td> 0.153</td> <td>   -1.299</td> <td>    0.203</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T33</th>                   <td>   -0.6212</td> <td>    0.423</td> <td>   -1.469</td> <td> 0.142</td> <td>   -1.450</td> <td>    0.208</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T34</th>                   <td>   -0.9095</td> <td>    0.368</td> <td>   -2.471</td> <td> 0.013</td> <td>   -1.631</td> <td>   -0.188</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T35</th>                   <td>   -0.3914</td> <td>    0.347</td> <td>   -1.128</td> <td> 0.259</td> <td>   -1.071</td> <td>    0.289</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T36</th>                   <td>   -1.4379</td> <td>    0.369</td> <td>   -3.898</td> <td> 0.000</td> <td>   -2.161</td> <td>   -0.715</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T37</th>                   <td>   -0.2997</td> <td>    0.363</td> <td>   -0.826</td> <td> 0.409</td> <td>   -1.011</td> <td>    0.411</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T38</th>                   <td>   -0.1333</td> <td>    0.343</td> <td>   -0.389</td> <td> 0.697</td> <td>   -0.805</td> <td>    0.538</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T39</th>                   <td>   -0.8484</td> <td>    0.439</td> <td>   -1.934</td> <td> 0.053</td> <td>   -1.708</td> <td>    0.011</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T40</th>                   <td>    0.3683</td> <td>    0.420</td> <td>    0.877</td> <td> 0.381</td> <td>   -0.455</td> <td>    1.192</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T41</th>                   <td>   -0.3518</td> <td>    0.356</td> <td>   -0.989</td> <td> 0.323</td> <td>   -1.049</td> <td>    0.345</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T42</th>                   <td>   -1.3290</td> <td>    0.399</td> <td>   -3.327</td> <td> 0.001</td> <td>   -2.112</td> <td>   -0.546</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T43</th>                   <td>   -0.5208</td> <td>    0.368</td> <td>   -1.416</td> <td> 0.157</td> <td>   -1.242</td> <td>    0.200</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T44</th>                   <td>   -0.4108</td> <td>    0.290</td> <td>   -1.415</td> <td> 0.157</td> <td>   -0.980</td> <td>    0.158</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T45</th>                   <td>    0.5094</td> <td>    0.362</td> <td>    1.408</td> <td> 0.159</td> <td>   -0.200</td> <td>    1.218</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T46</th>                   <td>   -0.7884</td> <td>    0.345</td> <td>   -2.284</td> <td> 0.022</td> <td>   -1.465</td> <td>   -0.112</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T47</th>                   <td>   -0.8139</td> <td>    0.271</td> <td>   -2.999</td> <td> 0.003</td> <td>   -1.346</td> <td>   -0.282</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T48</th>                   <td>   -0.1767</td> <td>    0.323</td> <td>   -0.547</td> <td> 0.584</td> <td>   -0.810</td> <td>    0.456</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T49</th>                   <td>   -0.5205</td> <td>    0.287</td> <td>   -1.813</td> <td> 0.070</td> <td>   -1.083</td> <td>    0.042</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>112.850</td> <th>  Durbin-Watson:     </th> <td>   1.897</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.000</td>  <th>  Jarque-Bera (JB):  </th> <td> 140.351</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td>-0.128</td>  <th>  Prob(JB):          </th> <td>3.34e-31</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 3.380</td>  <th>  Cond. No.          </th> <td>3.49e+04</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.<br/>[2] The condition number is large, 3.49e+04. This might indicate that there are<br/>strong multicollinearity or other numerical problems."
      ],
      "text/latex": [
       "\\begin{center}\n",
       "\\begin{tabular}{lclc}\n",
       "\\toprule\n",
       "\\textbf{Dep. Variable:}          & Citations\\_Received & \\textbf{  R-squared:         } &     0.425   \\\\\n",
       "\\textbf{Model:}                  &         OLS         & \\textbf{  Adj. R-squared:    } &     0.422   \\\\\n",
       "\\textbf{Method:}                 &    Least Squares    & \\textbf{  F-statistic:       } &     168.4   \\\\\n",
       "\\textbf{Date:}                   &   Sat, 28 Sep 2024  & \\textbf{  Prob (F-statistic):} &     0.00    \\\\\n",
       "\\textbf{Time:}                   &       22:25:12      & \\textbf{  Log-Likelihood:    } &   -9009.5   \\\\\n",
       "\\textbf{No. Observations:}       &         16025       & \\textbf{  AIC:               } & 1.816e+04   \\\\\n",
       "\\textbf{Df Residuals:}           &         15954       & \\textbf{  BIC:               } & 1.871e+04   \\\\\n",
       "\\textbf{Df Model:}               &            70       & \\textbf{                     } &             \\\\\n",
       "\\textbf{Covariance Type:}        &      nonrobust      & \\textbf{                     } &             \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lcccccc}\n",
       "                                 & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]}  \\\\\n",
       "\\midrule\n",
       "\\textbf{Const}                   &       1.0754  &        0.237     &     4.546  &         0.000        &        0.612    &        1.539     \\\\\n",
       "\\textbf{FA\\_Female}              &       0.0391  &        0.008     &     5.036  &         0.000        &        0.024    &        0.054     \\\\\n",
       "\\textbf{FA\\_European}            &      -0.0135  &        0.009     &    -1.550  &         0.121        &       -0.031    &        0.004     \\\\\n",
       "\\textbf{FA\\_Asian}               &      -0.0618  &        0.015     &    -4.026  &         0.000        &       -0.092    &       -0.032     \\\\\n",
       "\\textbf{FA\\_Slavic}              &      -0.0630  &        0.017     &    -3.741  &         0.000        &       -0.096    &       -0.030     \\\\\n",
       "\\textbf{FA\\_Hispanic/Latino}     &      -0.0455  &        0.017     &    -2.716  &         0.007        &       -0.078    &       -0.013     \\\\\n",
       "\\textbf{FA\\_African}             &      -0.0906  &        0.018     &    -4.928  &         0.000        &       -0.127    &       -0.055     \\\\\n",
       "\\textbf{FA\\_Jewish}              &      -0.0779  &        0.019     &    -4.012  &         0.000        &       -0.116    &       -0.040     \\\\\n",
       "\\textbf{FA\\_Other}               &      -0.0271  &        0.019     &    -1.411  &         0.158        &       -0.065    &        0.011     \\\\\n",
       "\\textbf{FA\\_South}               &       0.1368  &        0.119     &     1.152  &         0.250        &       -0.096    &        0.370     \\\\\n",
       "\\textbf{Mixed\\_Gender}           &      -0.0074  &        0.011     &    -0.665  &         0.506        &       -0.029    &        0.014     \\\\\n",
       "\\textbf{Cross\\_Ethnic}           &       0.0297  &        0.011     &     2.810  &         0.005        &        0.009    &        0.050     \\\\\n",
       "\\textbf{Cross\\_Regional}         &      -0.0738  &        0.029     &    -2.585  &         0.010        &       -0.130    &       -0.018     \\\\\n",
       "\\textbf{International}           &       0.0605  &        0.013     &     4.838  &         0.000        &        0.036    &        0.085     \\\\\n",
       "\\textbf{Cited\\_Outgroup}         &       0.0431  &        0.023     &     1.885  &         0.060        &       -0.002    &        0.088     \\\\\n",
       "\\textbf{Team\\_Size}              &       0.0535  &        0.007     &     7.952  &         0.000        &        0.040    &        0.067     \\\\\n",
       "\\textbf{Cited\\_References}       &       0.0033  &        0.000     &    25.709  &         0.000        &        0.003    &        0.004     \\\\\n",
       "\\textbf{Article\\_Age}            &       0.0348  &        0.001     &    33.324  &         0.000        &        0.033    &        0.037     \\\\\n",
       "\\textbf{Journal\\_Prestige}       &       0.0103  &        0.000     &    54.220  &         0.000        &        0.010    &        0.011     \\\\\n",
       "\\textbf{FA\\_Author\\_Publication} &       0.0100  &        0.001     &     7.292  &         0.000        &        0.007    &        0.013     \\\\\n",
       "\\textbf{FA\\_Author\\_Reputation}  &       0.0013  &     7.57e-05     &    17.379  &         0.000        &        0.001    &        0.001     \\\\\n",
       "\\textbf{FA\\_Affliation\\_Weight}  &       4.4288  &        1.513     &     2.927  &         0.003        &        1.463    &        7.395     \\\\\n",
       "\\textbf{T1}                      &      -1.5530  &        0.386     &    -4.024  &         0.000        &       -2.310    &       -0.796     \\\\\n",
       "\\textbf{T2}                      &      -1.9809  &        0.395     &    -5.021  &         0.000        &       -2.754    &       -1.208     \\\\\n",
       "\\textbf{T3}                      &      -1.6553  &        0.441     &    -3.752  &         0.000        &       -2.520    &       -0.790     \\\\\n",
       "\\textbf{T4}                      &      -1.3292  &        0.368     &    -3.611  &         0.000        &       -2.051    &       -0.608     \\\\\n",
       "\\textbf{T5}                      &      -1.4838  &        0.413     &    -3.595  &         0.000        &       -2.293    &       -0.675     \\\\\n",
       "\\textbf{T6}                      &      -0.6407  &        0.431     &    -1.485  &         0.137        &       -1.486    &        0.205     \\\\\n",
       "\\textbf{T7}                      &      -1.9563  &        0.404     &    -4.838  &         0.000        &       -2.749    &       -1.164     \\\\\n",
       "\\textbf{T8}                      &      -1.4572  &        0.344     &    -4.241  &         0.000        &       -2.131    &       -0.784     \\\\\n",
       "\\textbf{T9}                      &      -1.5416  &        0.390     &    -3.948  &         0.000        &       -2.307    &       -0.776     \\\\\n",
       "\\textbf{T10}                     &      -2.3069  &        0.399     &    -5.784  &         0.000        &       -3.089    &       -1.525     \\\\\n",
       "\\textbf{T11}                     &      -1.8638  &        0.397     &    -4.691  &         0.000        &       -2.643    &       -1.085     \\\\\n",
       "\\textbf{T12}                     &      -1.3019  &        0.423     &    -3.077  &         0.002        &       -2.131    &       -0.473     \\\\\n",
       "\\textbf{T13}                     &      -1.1191  &        0.363     &    -3.085  &         0.002        &       -1.830    &       -0.408     \\\\\n",
       "\\textbf{T14}                     &      -1.7739  &        0.400     &    -4.437  &         0.000        &       -2.558    &       -0.990     \\\\\n",
       "\\textbf{T15}                     &      -0.0790  &        0.387     &    -0.204  &         0.838        &       -0.838    &        0.680     \\\\\n",
       "\\textbf{T16}                     &      -1.5200  &        0.353     &    -4.307  &         0.000        &       -2.212    &       -0.828     \\\\\n",
       "\\textbf{T17}                     &      -0.3102  &        0.388     &    -0.800  &         0.423        &       -1.070    &        0.449     \\\\\n",
       "\\textbf{T18}                     &      -0.4008  &        0.379     &    -1.059  &         0.290        &       -1.143    &        0.341     \\\\\n",
       "\\textbf{T19}                     &      -0.6756  &        0.400     &    -1.689  &         0.091        &       -1.459    &        0.108     \\\\\n",
       "\\textbf{T20}                     &      -1.6496  &        0.430     &    -3.832  &         0.000        &       -2.493    &       -0.806     \\\\\n",
       "\\textbf{T21}                     &      -1.2322  &        0.365     &    -3.375  &         0.001        &       -1.948    &       -0.517     \\\\\n",
       "\\textbf{T22}                     &      -1.8381  &        0.405     &    -4.538  &         0.000        &       -2.632    &       -1.044     \\\\\n",
       "\\textbf{T23}                     &      -0.2186  &        0.364     &    -0.600  &         0.548        &       -0.932    &        0.495     \\\\\n",
       "\\textbf{T24}                     &      -1.3432  &        0.378     &    -3.556  &         0.000        &       -2.084    &       -0.603     \\\\\n",
       "\\textbf{T25}                     &      -1.3928  &        0.409     &    -3.408  &         0.001        &       -2.194    &       -0.592     \\\\\n",
       "\\textbf{T26}                     &      -1.0239  &        0.303     &    -3.384  &         0.001        &       -1.617    &       -0.431     \\\\\n",
       "\\textbf{T27}                     &      -1.2507  &        0.412     &    -3.037  &         0.002        &       -2.058    &       -0.443     \\\\\n",
       "\\textbf{T28}                     &      -0.5279  &        0.388     &    -1.361  &         0.174        &       -1.288    &        0.232     \\\\\n",
       "\\textbf{T29}                     &      -0.5228  &        0.414     &    -1.262  &         0.207        &       -1.335    &        0.289     \\\\\n",
       "\\textbf{T30}                     &      -2.0898  &        0.416     &    -5.022  &         0.000        &       -2.905    &       -1.274     \\\\\n",
       "\\textbf{T31}                     &      -1.7576  &        0.375     &    -4.685  &         0.000        &       -2.493    &       -1.022     \\\\\n",
       "\\textbf{T32}                     &      -0.5481  &        0.383     &    -1.430  &         0.153        &       -1.299    &        0.203     \\\\\n",
       "\\textbf{T33}                     &      -0.6212  &        0.423     &    -1.469  &         0.142        &       -1.450    &        0.208     \\\\\n",
       "\\textbf{T34}                     &      -0.9095  &        0.368     &    -2.471  &         0.013        &       -1.631    &       -0.188     \\\\\n",
       "\\textbf{T35}                     &      -0.3914  &        0.347     &    -1.128  &         0.259        &       -1.071    &        0.289     \\\\\n",
       "\\textbf{T36}                     &      -1.4379  &        0.369     &    -3.898  &         0.000        &       -2.161    &       -0.715     \\\\\n",
       "\\textbf{T37}                     &      -0.2997  &        0.363     &    -0.826  &         0.409        &       -1.011    &        0.411     \\\\\n",
       "\\textbf{T38}                     &      -0.1333  &        0.343     &    -0.389  &         0.697        &       -0.805    &        0.538     \\\\\n",
       "\\textbf{T39}                     &      -0.8484  &        0.439     &    -1.934  &         0.053        &       -1.708    &        0.011     \\\\\n",
       "\\textbf{T40}                     &       0.3683  &        0.420     &     0.877  &         0.381        &       -0.455    &        1.192     \\\\\n",
       "\\textbf{T41}                     &      -0.3518  &        0.356     &    -0.989  &         0.323        &       -1.049    &        0.345     \\\\\n",
       "\\textbf{T42}                     &      -1.3290  &        0.399     &    -3.327  &         0.001        &       -2.112    &       -0.546     \\\\\n",
       "\\textbf{T43}                     &      -0.5208  &        0.368     &    -1.416  &         0.157        &       -1.242    &        0.200     \\\\\n",
       "\\textbf{T44}                     &      -0.4108  &        0.290     &    -1.415  &         0.157        &       -0.980    &        0.158     \\\\\n",
       "\\textbf{T45}                     &       0.5094  &        0.362     &     1.408  &         0.159        &       -0.200    &        1.218     \\\\\n",
       "\\textbf{T46}                     &      -0.7884  &        0.345     &    -2.284  &         0.022        &       -1.465    &       -0.112     \\\\\n",
       "\\textbf{T47}                     &      -0.8139  &        0.271     &    -2.999  &         0.003        &       -1.346    &       -0.282     \\\\\n",
       "\\textbf{T48}                     &      -0.1767  &        0.323     &    -0.547  &         0.584        &       -0.810    &        0.456     \\\\\n",
       "\\textbf{T49}                     &      -0.5205  &        0.287     &    -1.813  &         0.070        &       -1.083    &        0.042     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lclc}\n",
       "\\textbf{Omnibus:}       & 112.850 & \\textbf{  Durbin-Watson:     } &    1.897  \\\\\n",
       "\\textbf{Prob(Omnibus):} &   0.000 & \\textbf{  Jarque-Bera (JB):  } &  140.351  \\\\\n",
       "\\textbf{Skew:}          &  -0.128 & \\textbf{  Prob(JB):          } & 3.34e-31  \\\\\n",
       "\\textbf{Kurtosis:}      &   3.380 & \\textbf{  Cond. No.          } & 3.49e+04  \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "%\\caption{OLS Regression Results}\n",
       "\\end{center}\n",
       "\n",
       "Notes: \\newline\n",
       " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
       " [2] The condition number is large, 3.49e+04. This might indicate that there are \\newline\n",
       " strong multicollinearity or other numerical problems."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:     Citations_Received   R-squared:                       0.425\n",
       "Model:                            OLS   Adj. R-squared:                  0.422\n",
       "Method:                 Least Squares   F-statistic:                     168.4\n",
       "Date:                Sat, 28 Sep 2024   Prob (F-statistic):               0.00\n",
       "Time:                        22:25:12   Log-Likelihood:                -9009.5\n",
       "No. Observations:               16025   AIC:                         1.816e+04\n",
       "Df Residuals:                   15954   BIC:                         1.871e+04\n",
       "Df Model:                          70                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "=========================================================================================\n",
       "                            coef    std err          t      P>|t|      [0.025      0.975]\n",
       "-----------------------------------------------------------------------------------------\n",
       "Const                     1.0754      0.237      4.546      0.000       0.612       1.539\n",
       "FA_Female                 0.0391      0.008      5.036      0.000       0.024       0.054\n",
       "FA_European              -0.0135      0.009     -1.550      0.121      -0.031       0.004\n",
       "FA_Asian                 -0.0618      0.015     -4.026      0.000      -0.092      -0.032\n",
       "FA_Slavic                -0.0630      0.017     -3.741      0.000      -0.096      -0.030\n",
       "FA_Hispanic/Latino       -0.0455      0.017     -2.716      0.007      -0.078      -0.013\n",
       "FA_African               -0.0906      0.018     -4.928      0.000      -0.127      -0.055\n",
       "FA_Jewish                -0.0779      0.019     -4.012      0.000      -0.116      -0.040\n",
       "FA_Other                 -0.0271      0.019     -1.411      0.158      -0.065       0.011\n",
       "FA_South                  0.1368      0.119      1.152      0.250      -0.096       0.370\n",
       "Mixed_Gender             -0.0074      0.011     -0.665      0.506      -0.029       0.014\n",
       "Cross_Ethnic              0.0297      0.011      2.810      0.005       0.009       0.050\n",
       "Cross_Regional           -0.0738      0.029     -2.585      0.010      -0.130      -0.018\n",
       "International             0.0605      0.013      4.838      0.000       0.036       0.085\n",
       "Cited_Outgroup            0.0431      0.023      1.885      0.060      -0.002       0.088\n",
       "Team_Size                 0.0535      0.007      7.952      0.000       0.040       0.067\n",
       "Cited_References          0.0033      0.000     25.709      0.000       0.003       0.004\n",
       "Article_Age               0.0348      0.001     33.324      0.000       0.033       0.037\n",
       "Journal_Prestige          0.0103      0.000     54.220      0.000       0.010       0.011\n",
       "FA_Author_Publication     0.0100      0.001      7.292      0.000       0.007       0.013\n",
       "FA_Author_Reputation      0.0013   7.57e-05     17.379      0.000       0.001       0.001\n",
       "FA_Affliation_Weight      4.4288      1.513      2.927      0.003       1.463       7.395\n",
       "T1                       -1.5530      0.386     -4.024      0.000      -2.310      -0.796\n",
       "T2                       -1.9809      0.395     -5.021      0.000      -2.754      -1.208\n",
       "T3                       -1.6553      0.441     -3.752      0.000      -2.520      -0.790\n",
       "T4                       -1.3292      0.368     -3.611      0.000      -2.051      -0.608\n",
       "T5                       -1.4838      0.413     -3.595      0.000      -2.293      -0.675\n",
       "T6                       -0.6407      0.431     -1.485      0.137      -1.486       0.205\n",
       "T7                       -1.9563      0.404     -4.838      0.000      -2.749      -1.164\n",
       "T8                       -1.4572      0.344     -4.241      0.000      -2.131      -0.784\n",
       "T9                       -1.5416      0.390     -3.948      0.000      -2.307      -0.776\n",
       "T10                      -2.3069      0.399     -5.784      0.000      -3.089      -1.525\n",
       "T11                      -1.8638      0.397     -4.691      0.000      -2.643      -1.085\n",
       "T12                      -1.3019      0.423     -3.077      0.002      -2.131      -0.473\n",
       "T13                      -1.1191      0.363     -3.085      0.002      -1.830      -0.408\n",
       "T14                      -1.7739      0.400     -4.437      0.000      -2.558      -0.990\n",
       "T15                      -0.0790      0.387     -0.204      0.838      -0.838       0.680\n",
       "T16                      -1.5200      0.353     -4.307      0.000      -2.212      -0.828\n",
       "T17                      -0.3102      0.388     -0.800      0.423      -1.070       0.449\n",
       "T18                      -0.4008      0.379     -1.059      0.290      -1.143       0.341\n",
       "T19                      -0.6756      0.400     -1.689      0.091      -1.459       0.108\n",
       "T20                      -1.6496      0.430     -3.832      0.000      -2.493      -0.806\n",
       "T21                      -1.2322      0.365     -3.375      0.001      -1.948      -0.517\n",
       "T22                      -1.8381      0.405     -4.538      0.000      -2.632      -1.044\n",
       "T23                      -0.2186      0.364     -0.600      0.548      -0.932       0.495\n",
       "T24                      -1.3432      0.378     -3.556      0.000      -2.084      -0.603\n",
       "T25                      -1.3928      0.409     -3.408      0.001      -2.194      -0.592\n",
       "T26                      -1.0239      0.303     -3.384      0.001      -1.617      -0.431\n",
       "T27                      -1.2507      0.412     -3.037      0.002      -2.058      -0.443\n",
       "T28                      -0.5279      0.388     -1.361      0.174      -1.288       0.232\n",
       "T29                      -0.5228      0.414     -1.262      0.207      -1.335       0.289\n",
       "T30                      -2.0898      0.416     -5.022      0.000      -2.905      -1.274\n",
       "T31                      -1.7576      0.375     -4.685      0.000      -2.493      -1.022\n",
       "T32                      -0.5481      0.383     -1.430      0.153      -1.299       0.203\n",
       "T33                      -0.6212      0.423     -1.469      0.142      -1.450       0.208\n",
       "T34                      -0.9095      0.368     -2.471      0.013      -1.631      -0.188\n",
       "T35                      -0.3914      0.347     -1.128      0.259      -1.071       0.289\n",
       "T36                      -1.4379      0.369     -3.898      0.000      -2.161      -0.715\n",
       "T37                      -0.2997      0.363     -0.826      0.409      -1.011       0.411\n",
       "T38                      -0.1333      0.343     -0.389      0.697      -0.805       0.538\n",
       "T39                      -0.8484      0.439     -1.934      0.053      -1.708       0.011\n",
       "T40                       0.3683      0.420      0.877      0.381      -0.455       1.192\n",
       "T41                      -0.3518      0.356     -0.989      0.323      -1.049       0.345\n",
       "T42                      -1.3290      0.399     -3.327      0.001      -2.112      -0.546\n",
       "T43                      -0.5208      0.368     -1.416      0.157      -1.242       0.200\n",
       "T44                      -0.4108      0.290     -1.415      0.157      -0.980       0.158\n",
       "T45                       0.5094      0.362      1.408      0.159      -0.200       1.218\n",
       "T46                      -0.7884      0.345     -2.284      0.022      -1.465      -0.112\n",
       "T47                      -0.8139      0.271     -2.999      0.003      -1.346      -0.282\n",
       "T48                      -0.1767      0.323     -0.547      0.584      -0.810       0.456\n",
       "T49                      -0.5205      0.287     -1.813      0.070      -1.083       0.042\n",
       "==============================================================================\n",
       "Omnibus:                      112.850   Durbin-Watson:                   1.897\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              140.351\n",
       "Skew:                          -0.128   Prob(JB):                     3.34e-31\n",
       "Kurtosis:                       3.380   Cond. No.                     3.49e+04\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "[2] The condition number is large, 3.49e+04. This might indicate that there are\n",
       "strong multicollinearity or other numerical problems.\n",
       "\"\"\""
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Model 4: FA-based Top 50 Institution Model\n",
    "model_4 = sm.OLS(np.log10(regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top50_Inst'])]['Citations_Received']+1),\n",
    "               regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top50_Inst'])][['Const','FA_Female','FA_European', 'FA_Asian', 'FA_Slavic', 'FA_Hispanic/Latino', 'FA_African', 'FA_Jewish','FA_Other','FA_South',\n",
    "                                                                                                                        'Mixed_Gender','Cross_Ethnic','Cross_Regional','International','Cited_Outgroup',\n",
    "                                                                                                                        'Team_Size', 'Cited_References','Article_Age','Journal_Prestige','FA_Author_Publication','FA_Author_Reputation','FA_Affliation_Weight']+['T'+str(i) for i in range(1,50)]],missing='drop')\n",
    "results_4 = model_4.fit(maxiter=100)\n",
    "results_4.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0049f46d-3802-4ffe-a666-96ccca2a3910",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>    <td>Citations_Received</td> <th>  R-squared:         </th> <td>   0.442</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                    <td>OLS</td>        <th>  Adj. R-squared:    </th> <td>   0.437</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>              <td>Least Squares</td>   <th>  F-statistic:       </th> <td>   90.95</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>              <td>Sat, 28 Sep 2024</td>  <th>  Prob (F-statistic):</th>  <td>  0.00</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                  <td>22:25:15</td>      <th>  Log-Likelihood:    </th> <td> -4692.5</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>       <td>  8107</td>       <th>  AIC:               </th> <td>   9527.</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>           <td>  8036</td>       <th>  BIC:               </th> <td>1.002e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>               <td>    70</td>       <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>       <td>nonrobust</td>     <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "            <td></td>               <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Const</th>                 <td>    1.5597</td> <td>    0.331</td> <td>    4.718</td> <td> 0.000</td> <td>    0.912</td> <td>    2.208</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Female</th>             <td>    0.0314</td> <td>    0.011</td> <td>    2.836</td> <td> 0.005</td> <td>    0.010</td> <td>    0.053</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_European</th>           <td>    0.0155</td> <td>    0.013</td> <td>    1.198</td> <td> 0.231</td> <td>   -0.010</td> <td>    0.041</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Asian</th>              <td>   -0.0349</td> <td>    0.021</td> <td>   -1.636</td> <td> 0.102</td> <td>   -0.077</td> <td>    0.007</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Slavic</th>             <td>   -0.0274</td> <td>    0.023</td> <td>   -1.177</td> <td> 0.239</td> <td>   -0.073</td> <td>    0.018</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Hispanic/Latino</th>    <td>   -0.0292</td> <td>    0.023</td> <td>   -1.256</td> <td> 0.209</td> <td>   -0.075</td> <td>    0.016</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_African</th>            <td>   -0.0777</td> <td>    0.025</td> <td>   -3.076</td> <td> 0.002</td> <td>   -0.127</td> <td>   -0.028</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Jewish</th>             <td>   -0.0684</td> <td>    0.028</td> <td>   -2.403</td> <td> 0.016</td> <td>   -0.124</td> <td>   -0.013</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Other</th>              <td>   -0.0100</td> <td>    0.026</td> <td>   -0.379</td> <td> 0.704</td> <td>   -0.062</td> <td>    0.042</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_South</th>              <td>    0.2213</td> <td>    0.147</td> <td>    1.507</td> <td> 0.132</td> <td>   -0.067</td> <td>    0.509</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Mixed_Gender</th>          <td>   -0.0056</td> <td>    0.016</td> <td>   -0.356</td> <td> 0.722</td> <td>   -0.036</td> <td>    0.025</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Ethnic</th>          <td>    0.0389</td> <td>    0.015</td> <td>    2.572</td> <td> 0.010</td> <td>    0.009</td> <td>    0.069</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Regional</th>        <td>   -0.0733</td> <td>    0.041</td> <td>   -1.783</td> <td> 0.075</td> <td>   -0.154</td> <td>    0.007</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>International</th>         <td>    0.0431</td> <td>    0.018</td> <td>    2.375</td> <td> 0.018</td> <td>    0.008</td> <td>    0.079</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_Outgroup</th>        <td>    0.0007</td> <td>    0.034</td> <td>    0.020</td> <td> 0.984</td> <td>   -0.066</td> <td>    0.068</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Size</th>             <td>    0.0637</td> <td>    0.010</td> <td>    6.559</td> <td> 0.000</td> <td>    0.045</td> <td>    0.083</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_References</th>      <td>    0.0033</td> <td>    0.000</td> <td>   18.431</td> <td> 0.000</td> <td>    0.003</td> <td>    0.004</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Article_Age</th>           <td>    0.0364</td> <td>    0.001</td> <td>   24.352</td> <td> 0.000</td> <td>    0.033</td> <td>    0.039</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Journal_Prestige</th>      <td>    0.0101</td> <td>    0.000</td> <td>   39.831</td> <td> 0.000</td> <td>    0.010</td> <td>    0.011</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Publication</th> <td>    0.0110</td> <td>    0.002</td> <td>    5.252</td> <td> 0.000</td> <td>    0.007</td> <td>    0.015</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Reputation</th>  <td>    0.0011</td> <td> 9.22e-05</td> <td>   11.391</td> <td> 0.000</td> <td>    0.001</td> <td>    0.001</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Affliation_Weight</th>  <td>    4.2334</td> <td>    2.274</td> <td>    1.862</td> <td> 0.063</td> <td>   -0.224</td> <td>    8.691</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T1</th>                    <td>   -2.0600</td> <td>    0.540</td> <td>   -3.813</td> <td> 0.000</td> <td>   -3.119</td> <td>   -1.001</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T2</th>                    <td>   -2.7957</td> <td>    0.555</td> <td>   -5.035</td> <td> 0.000</td> <td>   -3.884</td> <td>   -1.707</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T3</th>                    <td>   -1.5938</td> <td>    0.623</td> <td>   -2.560</td> <td> 0.010</td> <td>   -2.814</td> <td>   -0.373</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T4</th>                    <td>   -1.6527</td> <td>    0.521</td> <td>   -3.175</td> <td> 0.002</td> <td>   -2.673</td> <td>   -0.632</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T5</th>                    <td>   -2.1080</td> <td>    0.584</td> <td>   -3.607</td> <td> 0.000</td> <td>   -3.254</td> <td>   -0.962</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T6</th>                    <td>   -1.8364</td> <td>    0.613</td> <td>   -2.997</td> <td> 0.003</td> <td>   -3.038</td> <td>   -0.635</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T7</th>                    <td>   -2.8114</td> <td>    0.574</td> <td>   -4.901</td> <td> 0.000</td> <td>   -3.936</td> <td>   -1.687</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T8</th>                    <td>   -1.8953</td> <td>    0.484</td> <td>   -3.917</td> <td> 0.000</td> <td>   -2.844</td> <td>   -0.947</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T9</th>                    <td>   -2.0100</td> <td>    0.562</td> <td>   -3.574</td> <td> 0.000</td> <td>   -3.113</td> <td>   -0.907</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T10</th>                   <td>   -3.1310</td> <td>    0.569</td> <td>   -5.507</td> <td> 0.000</td> <td>   -4.246</td> <td>   -2.016</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T11</th>                   <td>   -2.8927</td> <td>    0.552</td> <td>   -5.236</td> <td> 0.000</td> <td>   -3.976</td> <td>   -1.810</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T12</th>                   <td>   -1.2976</td> <td>    0.599</td> <td>   -2.165</td> <td> 0.030</td> <td>   -2.473</td> <td>   -0.123</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T13</th>                   <td>   -1.7593</td> <td>    0.517</td> <td>   -3.403</td> <td> 0.001</td> <td>   -2.773</td> <td>   -0.746</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T14</th>                   <td>   -2.0852</td> <td>    0.566</td> <td>   -3.681</td> <td> 0.000</td> <td>   -3.196</td> <td>   -0.975</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T15</th>                   <td>   -0.8482</td> <td>    0.564</td> <td>   -1.505</td> <td> 0.132</td> <td>   -1.953</td> <td>    0.257</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T16</th>                   <td>   -2.1656</td> <td>    0.504</td> <td>   -4.294</td> <td> 0.000</td> <td>   -3.154</td> <td>   -1.177</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T17</th>                   <td>   -0.9459</td> <td>    0.543</td> <td>   -1.744</td> <td> 0.081</td> <td>   -2.009</td> <td>    0.118</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T18</th>                   <td>   -0.4279</td> <td>    0.541</td> <td>   -0.791</td> <td> 0.429</td> <td>   -1.488</td> <td>    0.632</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T19</th>                   <td>   -1.1776</td> <td>    0.566</td> <td>   -2.082</td> <td> 0.037</td> <td>   -2.286</td> <td>   -0.069</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T20</th>                   <td>   -2.4503</td> <td>    0.605</td> <td>   -4.047</td> <td> 0.000</td> <td>   -3.637</td> <td>   -1.263</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T21</th>                   <td>   -1.8632</td> <td>    0.519</td> <td>   -3.590</td> <td> 0.000</td> <td>   -2.880</td> <td>   -0.846</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T22</th>                   <td>   -2.1285</td> <td>    0.584</td> <td>   -3.642</td> <td> 0.000</td> <td>   -3.274</td> <td>   -0.983</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T23</th>                   <td>   -0.5206</td> <td>    0.516</td> <td>   -1.008</td> <td> 0.314</td> <td>   -1.533</td> <td>    0.492</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T24</th>                   <td>   -2.0036</td> <td>    0.537</td> <td>   -3.731</td> <td> 0.000</td> <td>   -3.056</td> <td>   -0.951</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T25</th>                   <td>   -1.5099</td> <td>    0.593</td> <td>   -2.546</td> <td> 0.011</td> <td>   -2.673</td> <td>   -0.347</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T26</th>                   <td>   -1.4958</td> <td>    0.436</td> <td>   -3.433</td> <td> 0.001</td> <td>   -2.350</td> <td>   -0.642</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T27</th>                   <td>   -1.8827</td> <td>    0.597</td> <td>   -3.152</td> <td> 0.002</td> <td>   -3.053</td> <td>   -0.712</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T28</th>                   <td>   -0.8969</td> <td>    0.557</td> <td>   -1.611</td> <td> 0.107</td> <td>   -1.988</td> <td>    0.195</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T29</th>                   <td>   -1.2975</td> <td>    0.581</td> <td>   -2.232</td> <td> 0.026</td> <td>   -2.437</td> <td>   -0.158</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T30</th>                   <td>   -2.1954</td> <td>    0.602</td> <td>   -3.647</td> <td> 0.000</td> <td>   -3.375</td> <td>   -1.016</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T31</th>                   <td>   -2.4335</td> <td>    0.528</td> <td>   -4.606</td> <td> 0.000</td> <td>   -3.469</td> <td>   -1.398</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T32</th>                   <td>   -0.8399</td> <td>    0.550</td> <td>   -1.527</td> <td> 0.127</td> <td>   -1.918</td> <td>    0.238</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T33</th>                   <td>   -1.5220</td> <td>    0.609</td> <td>   -2.501</td> <td> 0.012</td> <td>   -2.715</td> <td>   -0.329</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T34</th>                   <td>   -1.3768</td> <td>    0.524</td> <td>   -2.626</td> <td> 0.009</td> <td>   -2.405</td> <td>   -0.349</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T35</th>                   <td>   -0.9450</td> <td>    0.498</td> <td>   -1.898</td> <td> 0.058</td> <td>   -1.921</td> <td>    0.031</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T36</th>                   <td>   -1.5244</td> <td>    0.523</td> <td>   -2.916</td> <td> 0.004</td> <td>   -2.549</td> <td>   -0.500</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T37</th>                   <td>   -0.9105</td> <td>    0.522</td> <td>   -1.746</td> <td> 0.081</td> <td>   -1.933</td> <td>    0.112</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T38</th>                   <td>   -0.9225</td> <td>    0.505</td> <td>   -1.826</td> <td> 0.068</td> <td>   -1.913</td> <td>    0.068</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T39</th>                   <td>   -1.0421</td> <td>    0.618</td> <td>   -1.687</td> <td> 0.092</td> <td>   -2.253</td> <td>    0.169</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T40</th>                   <td>    0.3725</td> <td>    0.600</td> <td>    0.621</td> <td> 0.535</td> <td>   -0.804</td> <td>    1.549</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T41</th>                   <td>   -0.5006</td> <td>    0.505</td> <td>   -0.990</td> <td> 0.322</td> <td>   -1.491</td> <td>    0.490</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T42</th>                   <td>   -1.6650</td> <td>    0.558</td> <td>   -2.986</td> <td> 0.003</td> <td>   -2.758</td> <td>   -0.572</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T43</th>                   <td>   -0.7330</td> <td>    0.522</td> <td>   -1.404</td> <td> 0.160</td> <td>   -1.756</td> <td>    0.290</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T44</th>                   <td>   -1.0954</td> <td>    0.413</td> <td>   -2.654</td> <td> 0.008</td> <td>   -1.904</td> <td>   -0.286</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T45</th>                   <td>    0.5731</td> <td>    0.517</td> <td>    1.107</td> <td> 0.268</td> <td>   -0.441</td> <td>    1.587</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T46</th>                   <td>   -1.2644</td> <td>    0.484</td> <td>   -2.615</td> <td> 0.009</td> <td>   -2.212</td> <td>   -0.316</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T47</th>                   <td>   -1.3192</td> <td>    0.378</td> <td>   -3.486</td> <td> 0.000</td> <td>   -2.061</td> <td>   -0.577</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T48</th>                   <td>   -0.8579</td> <td>    0.460</td> <td>   -1.865</td> <td> 0.062</td> <td>   -1.760</td> <td>    0.044</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T49</th>                   <td>   -1.1692</td> <td>    0.403</td> <td>   -2.898</td> <td> 0.004</td> <td>   -1.960</td> <td>   -0.378</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>25.360</td> <th>  Durbin-Watson:     </th> <td>   1.903</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.000</td> <th>  Jarque-Bera (JB):  </th> <td>  28.702</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td>-0.086</td> <th>  Prob(JB):          </th> <td>5.85e-07</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 3.236</td> <th>  Cond. No.          </th> <td>3.59e+04</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.<br/>[2] The condition number is large, 3.59e+04. This might indicate that there are<br/>strong multicollinearity or other numerical problems."
      ],
      "text/latex": [
       "\\begin{center}\n",
       "\\begin{tabular}{lclc}\n",
       "\\toprule\n",
       "\\textbf{Dep. Variable:}          & Citations\\_Received & \\textbf{  R-squared:         } &     0.442   \\\\\n",
       "\\textbf{Model:}                  &         OLS         & \\textbf{  Adj. R-squared:    } &     0.437   \\\\\n",
       "\\textbf{Method:}                 &    Least Squares    & \\textbf{  F-statistic:       } &     90.95   \\\\\n",
       "\\textbf{Date:}                   &   Sat, 28 Sep 2024  & \\textbf{  Prob (F-statistic):} &     0.00    \\\\\n",
       "\\textbf{Time:}                   &       22:25:15      & \\textbf{  Log-Likelihood:    } &   -4692.5   \\\\\n",
       "\\textbf{No. Observations:}       &          8107       & \\textbf{  AIC:               } &     9527.   \\\\\n",
       "\\textbf{Df Residuals:}           &          8036       & \\textbf{  BIC:               } & 1.002e+04   \\\\\n",
       "\\textbf{Df Model:}               &            70       & \\textbf{                     } &             \\\\\n",
       "\\textbf{Covariance Type:}        &      nonrobust      & \\textbf{                     } &             \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lcccccc}\n",
       "                                 & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]}  \\\\\n",
       "\\midrule\n",
       "\\textbf{Const}                   &       1.5597  &        0.331     &     4.718  &         0.000        &        0.912    &        2.208     \\\\\n",
       "\\textbf{FA\\_Female}              &       0.0314  &        0.011     &     2.836  &         0.005        &        0.010    &        0.053     \\\\\n",
       "\\textbf{FA\\_European}            &       0.0155  &        0.013     &     1.198  &         0.231        &       -0.010    &        0.041     \\\\\n",
       "\\textbf{FA\\_Asian}               &      -0.0349  &        0.021     &    -1.636  &         0.102        &       -0.077    &        0.007     \\\\\n",
       "\\textbf{FA\\_Slavic}              &      -0.0274  &        0.023     &    -1.177  &         0.239        &       -0.073    &        0.018     \\\\\n",
       "\\textbf{FA\\_Hispanic/Latino}     &      -0.0292  &        0.023     &    -1.256  &         0.209        &       -0.075    &        0.016     \\\\\n",
       "\\textbf{FA\\_African}             &      -0.0777  &        0.025     &    -3.076  &         0.002        &       -0.127    &       -0.028     \\\\\n",
       "\\textbf{FA\\_Jewish}              &      -0.0684  &        0.028     &    -2.403  &         0.016        &       -0.124    &       -0.013     \\\\\n",
       "\\textbf{FA\\_Other}               &      -0.0100  &        0.026     &    -0.379  &         0.704        &       -0.062    &        0.042     \\\\\n",
       "\\textbf{FA\\_South}               &       0.2213  &        0.147     &     1.507  &         0.132        &       -0.067    &        0.509     \\\\\n",
       "\\textbf{Mixed\\_Gender}           &      -0.0056  &        0.016     &    -0.356  &         0.722        &       -0.036    &        0.025     \\\\\n",
       "\\textbf{Cross\\_Ethnic}           &       0.0389  &        0.015     &     2.572  &         0.010        &        0.009    &        0.069     \\\\\n",
       "\\textbf{Cross\\_Regional}         &      -0.0733  &        0.041     &    -1.783  &         0.075        &       -0.154    &        0.007     \\\\\n",
       "\\textbf{International}           &       0.0431  &        0.018     &     2.375  &         0.018        &        0.008    &        0.079     \\\\\n",
       "\\textbf{Cited\\_Outgroup}         &       0.0007  &        0.034     &     0.020  &         0.984        &       -0.066    &        0.068     \\\\\n",
       "\\textbf{Team\\_Size}              &       0.0637  &        0.010     &     6.559  &         0.000        &        0.045    &        0.083     \\\\\n",
       "\\textbf{Cited\\_References}       &       0.0033  &        0.000     &    18.431  &         0.000        &        0.003    &        0.004     \\\\\n",
       "\\textbf{Article\\_Age}            &       0.0364  &        0.001     &    24.352  &         0.000        &        0.033    &        0.039     \\\\\n",
       "\\textbf{Journal\\_Prestige}       &       0.0101  &        0.000     &    39.831  &         0.000        &        0.010    &        0.011     \\\\\n",
       "\\textbf{FA\\_Author\\_Publication} &       0.0110  &        0.002     &     5.252  &         0.000        &        0.007    &        0.015     \\\\\n",
       "\\textbf{FA\\_Author\\_Reputation}  &       0.0011  &     9.22e-05     &    11.391  &         0.000        &        0.001    &        0.001     \\\\\n",
       "\\textbf{FA\\_Affliation\\_Weight}  &       4.2334  &        2.274     &     1.862  &         0.063        &       -0.224    &        8.691     \\\\\n",
       "\\textbf{T1}                      &      -2.0600  &        0.540     &    -3.813  &         0.000        &       -3.119    &       -1.001     \\\\\n",
       "\\textbf{T2}                      &      -2.7957  &        0.555     &    -5.035  &         0.000        &       -3.884    &       -1.707     \\\\\n",
       "\\textbf{T3}                      &      -1.5938  &        0.623     &    -2.560  &         0.010        &       -2.814    &       -0.373     \\\\\n",
       "\\textbf{T4}                      &      -1.6527  &        0.521     &    -3.175  &         0.002        &       -2.673    &       -0.632     \\\\\n",
       "\\textbf{T5}                      &      -2.1080  &        0.584     &    -3.607  &         0.000        &       -3.254    &       -0.962     \\\\\n",
       "\\textbf{T6}                      &      -1.8364  &        0.613     &    -2.997  &         0.003        &       -3.038    &       -0.635     \\\\\n",
       "\\textbf{T7}                      &      -2.8114  &        0.574     &    -4.901  &         0.000        &       -3.936    &       -1.687     \\\\\n",
       "\\textbf{T8}                      &      -1.8953  &        0.484     &    -3.917  &         0.000        &       -2.844    &       -0.947     \\\\\n",
       "\\textbf{T9}                      &      -2.0100  &        0.562     &    -3.574  &         0.000        &       -3.113    &       -0.907     \\\\\n",
       "\\textbf{T10}                     &      -3.1310  &        0.569     &    -5.507  &         0.000        &       -4.246    &       -2.016     \\\\\n",
       "\\textbf{T11}                     &      -2.8927  &        0.552     &    -5.236  &         0.000        &       -3.976    &       -1.810     \\\\\n",
       "\\textbf{T12}                     &      -1.2976  &        0.599     &    -2.165  &         0.030        &       -2.473    &       -0.123     \\\\\n",
       "\\textbf{T13}                     &      -1.7593  &        0.517     &    -3.403  &         0.001        &       -2.773    &       -0.746     \\\\\n",
       "\\textbf{T14}                     &      -2.0852  &        0.566     &    -3.681  &         0.000        &       -3.196    &       -0.975     \\\\\n",
       "\\textbf{T15}                     &      -0.8482  &        0.564     &    -1.505  &         0.132        &       -1.953    &        0.257     \\\\\n",
       "\\textbf{T16}                     &      -2.1656  &        0.504     &    -4.294  &         0.000        &       -3.154    &       -1.177     \\\\\n",
       "\\textbf{T17}                     &      -0.9459  &        0.543     &    -1.744  &         0.081        &       -2.009    &        0.118     \\\\\n",
       "\\textbf{T18}                     &      -0.4279  &        0.541     &    -0.791  &         0.429        &       -1.488    &        0.632     \\\\\n",
       "\\textbf{T19}                     &      -1.1776  &        0.566     &    -2.082  &         0.037        &       -2.286    &       -0.069     \\\\\n",
       "\\textbf{T20}                     &      -2.4503  &        0.605     &    -4.047  &         0.000        &       -3.637    &       -1.263     \\\\\n",
       "\\textbf{T21}                     &      -1.8632  &        0.519     &    -3.590  &         0.000        &       -2.880    &       -0.846     \\\\\n",
       "\\textbf{T22}                     &      -2.1285  &        0.584     &    -3.642  &         0.000        &       -3.274    &       -0.983     \\\\\n",
       "\\textbf{T23}                     &      -0.5206  &        0.516     &    -1.008  &         0.314        &       -1.533    &        0.492     \\\\\n",
       "\\textbf{T24}                     &      -2.0036  &        0.537     &    -3.731  &         0.000        &       -3.056    &       -0.951     \\\\\n",
       "\\textbf{T25}                     &      -1.5099  &        0.593     &    -2.546  &         0.011        &       -2.673    &       -0.347     \\\\\n",
       "\\textbf{T26}                     &      -1.4958  &        0.436     &    -3.433  &         0.001        &       -2.350    &       -0.642     \\\\\n",
       "\\textbf{T27}                     &      -1.8827  &        0.597     &    -3.152  &         0.002        &       -3.053    &       -0.712     \\\\\n",
       "\\textbf{T28}                     &      -0.8969  &        0.557     &    -1.611  &         0.107        &       -1.988    &        0.195     \\\\\n",
       "\\textbf{T29}                     &      -1.2975  &        0.581     &    -2.232  &         0.026        &       -2.437    &       -0.158     \\\\\n",
       "\\textbf{T30}                     &      -2.1954  &        0.602     &    -3.647  &         0.000        &       -3.375    &       -1.016     \\\\\n",
       "\\textbf{T31}                     &      -2.4335  &        0.528     &    -4.606  &         0.000        &       -3.469    &       -1.398     \\\\\n",
       "\\textbf{T32}                     &      -0.8399  &        0.550     &    -1.527  &         0.127        &       -1.918    &        0.238     \\\\\n",
       "\\textbf{T33}                     &      -1.5220  &        0.609     &    -2.501  &         0.012        &       -2.715    &       -0.329     \\\\\n",
       "\\textbf{T34}                     &      -1.3768  &        0.524     &    -2.626  &         0.009        &       -2.405    &       -0.349     \\\\\n",
       "\\textbf{T35}                     &      -0.9450  &        0.498     &    -1.898  &         0.058        &       -1.921    &        0.031     \\\\\n",
       "\\textbf{T36}                     &      -1.5244  &        0.523     &    -2.916  &         0.004        &       -2.549    &       -0.500     \\\\\n",
       "\\textbf{T37}                     &      -0.9105  &        0.522     &    -1.746  &         0.081        &       -1.933    &        0.112     \\\\\n",
       "\\textbf{T38}                     &      -0.9225  &        0.505     &    -1.826  &         0.068        &       -1.913    &        0.068     \\\\\n",
       "\\textbf{T39}                     &      -1.0421  &        0.618     &    -1.687  &         0.092        &       -2.253    &        0.169     \\\\\n",
       "\\textbf{T40}                     &       0.3725  &        0.600     &     0.621  &         0.535        &       -0.804    &        1.549     \\\\\n",
       "\\textbf{T41}                     &      -0.5006  &        0.505     &    -0.990  &         0.322        &       -1.491    &        0.490     \\\\\n",
       "\\textbf{T42}                     &      -1.6650  &        0.558     &    -2.986  &         0.003        &       -2.758    &       -0.572     \\\\\n",
       "\\textbf{T43}                     &      -0.7330  &        0.522     &    -1.404  &         0.160        &       -1.756    &        0.290     \\\\\n",
       "\\textbf{T44}                     &      -1.0954  &        0.413     &    -2.654  &         0.008        &       -1.904    &       -0.286     \\\\\n",
       "\\textbf{T45}                     &       0.5731  &        0.517     &     1.107  &         0.268        &       -0.441    &        1.587     \\\\\n",
       "\\textbf{T46}                     &      -1.2644  &        0.484     &    -2.615  &         0.009        &       -2.212    &       -0.316     \\\\\n",
       "\\textbf{T47}                     &      -1.3192  &        0.378     &    -3.486  &         0.000        &       -2.061    &       -0.577     \\\\\n",
       "\\textbf{T48}                     &      -0.8579  &        0.460     &    -1.865  &         0.062        &       -1.760    &        0.044     \\\\\n",
       "\\textbf{T49}                     &      -1.1692  &        0.403     &    -2.898  &         0.004        &       -1.960    &       -0.378     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lclc}\n",
       "\\textbf{Omnibus:}       & 25.360 & \\textbf{  Durbin-Watson:     } &    1.903  \\\\\n",
       "\\textbf{Prob(Omnibus):} &  0.000 & \\textbf{  Jarque-Bera (JB):  } &   28.702  \\\\\n",
       "\\textbf{Skew:}          & -0.086 & \\textbf{  Prob(JB):          } & 5.85e-07  \\\\\n",
       "\\textbf{Kurtosis:}      &  3.236 & \\textbf{  Cond. No.          } & 3.59e+04  \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "%\\caption{OLS Regression Results}\n",
       "\\end{center}\n",
       "\n",
       "Notes: \\newline\n",
       " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
       " [2] The condition number is large, 3.59e+04. This might indicate that there are \\newline\n",
       " strong multicollinearity or other numerical problems."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:     Citations_Received   R-squared:                       0.442\n",
       "Model:                            OLS   Adj. R-squared:                  0.437\n",
       "Method:                 Least Squares   F-statistic:                     90.95\n",
       "Date:                Sat, 28 Sep 2024   Prob (F-statistic):               0.00\n",
       "Time:                        22:25:15   Log-Likelihood:                -4692.5\n",
       "No. Observations:                8107   AIC:                             9527.\n",
       "Df Residuals:                    8036   BIC:                         1.002e+04\n",
       "Df Model:                          70                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "=========================================================================================\n",
       "                            coef    std err          t      P>|t|      [0.025      0.975]\n",
       "-----------------------------------------------------------------------------------------\n",
       "Const                     1.5597      0.331      4.718      0.000       0.912       2.208\n",
       "FA_Female                 0.0314      0.011      2.836      0.005       0.010       0.053\n",
       "FA_European               0.0155      0.013      1.198      0.231      -0.010       0.041\n",
       "FA_Asian                 -0.0349      0.021     -1.636      0.102      -0.077       0.007\n",
       "FA_Slavic                -0.0274      0.023     -1.177      0.239      -0.073       0.018\n",
       "FA_Hispanic/Latino       -0.0292      0.023     -1.256      0.209      -0.075       0.016\n",
       "FA_African               -0.0777      0.025     -3.076      0.002      -0.127      -0.028\n",
       "FA_Jewish                -0.0684      0.028     -2.403      0.016      -0.124      -0.013\n",
       "FA_Other                 -0.0100      0.026     -0.379      0.704      -0.062       0.042\n",
       "FA_South                  0.2213      0.147      1.507      0.132      -0.067       0.509\n",
       "Mixed_Gender             -0.0056      0.016     -0.356      0.722      -0.036       0.025\n",
       "Cross_Ethnic              0.0389      0.015      2.572      0.010       0.009       0.069\n",
       "Cross_Regional           -0.0733      0.041     -1.783      0.075      -0.154       0.007\n",
       "International             0.0431      0.018      2.375      0.018       0.008       0.079\n",
       "Cited_Outgroup            0.0007      0.034      0.020      0.984      -0.066       0.068\n",
       "Team_Size                 0.0637      0.010      6.559      0.000       0.045       0.083\n",
       "Cited_References          0.0033      0.000     18.431      0.000       0.003       0.004\n",
       "Article_Age               0.0364      0.001     24.352      0.000       0.033       0.039\n",
       "Journal_Prestige          0.0101      0.000     39.831      0.000       0.010       0.011\n",
       "FA_Author_Publication     0.0110      0.002      5.252      0.000       0.007       0.015\n",
       "FA_Author_Reputation      0.0011   9.22e-05     11.391      0.000       0.001       0.001\n",
       "FA_Affliation_Weight      4.2334      2.274      1.862      0.063      -0.224       8.691\n",
       "T1                       -2.0600      0.540     -3.813      0.000      -3.119      -1.001\n",
       "T2                       -2.7957      0.555     -5.035      0.000      -3.884      -1.707\n",
       "T3                       -1.5938      0.623     -2.560      0.010      -2.814      -0.373\n",
       "T4                       -1.6527      0.521     -3.175      0.002      -2.673      -0.632\n",
       "T5                       -2.1080      0.584     -3.607      0.000      -3.254      -0.962\n",
       "T6                       -1.8364      0.613     -2.997      0.003      -3.038      -0.635\n",
       "T7                       -2.8114      0.574     -4.901      0.000      -3.936      -1.687\n",
       "T8                       -1.8953      0.484     -3.917      0.000      -2.844      -0.947\n",
       "T9                       -2.0100      0.562     -3.574      0.000      -3.113      -0.907\n",
       "T10                      -3.1310      0.569     -5.507      0.000      -4.246      -2.016\n",
       "T11                      -2.8927      0.552     -5.236      0.000      -3.976      -1.810\n",
       "T12                      -1.2976      0.599     -2.165      0.030      -2.473      -0.123\n",
       "T13                      -1.7593      0.517     -3.403      0.001      -2.773      -0.746\n",
       "T14                      -2.0852      0.566     -3.681      0.000      -3.196      -0.975\n",
       "T15                      -0.8482      0.564     -1.505      0.132      -1.953       0.257\n",
       "T16                      -2.1656      0.504     -4.294      0.000      -3.154      -1.177\n",
       "T17                      -0.9459      0.543     -1.744      0.081      -2.009       0.118\n",
       "T18                      -0.4279      0.541     -0.791      0.429      -1.488       0.632\n",
       "T19                      -1.1776      0.566     -2.082      0.037      -2.286      -0.069\n",
       "T20                      -2.4503      0.605     -4.047      0.000      -3.637      -1.263\n",
       "T21                      -1.8632      0.519     -3.590      0.000      -2.880      -0.846\n",
       "T22                      -2.1285      0.584     -3.642      0.000      -3.274      -0.983\n",
       "T23                      -0.5206      0.516     -1.008      0.314      -1.533       0.492\n",
       "T24                      -2.0036      0.537     -3.731      0.000      -3.056      -0.951\n",
       "T25                      -1.5099      0.593     -2.546      0.011      -2.673      -0.347\n",
       "T26                      -1.4958      0.436     -3.433      0.001      -2.350      -0.642\n",
       "T27                      -1.8827      0.597     -3.152      0.002      -3.053      -0.712\n",
       "T28                      -0.8969      0.557     -1.611      0.107      -1.988       0.195\n",
       "T29                      -1.2975      0.581     -2.232      0.026      -2.437      -0.158\n",
       "T30                      -2.1954      0.602     -3.647      0.000      -3.375      -1.016\n",
       "T31                      -2.4335      0.528     -4.606      0.000      -3.469      -1.398\n",
       "T32                      -0.8399      0.550     -1.527      0.127      -1.918       0.238\n",
       "T33                      -1.5220      0.609     -2.501      0.012      -2.715      -0.329\n",
       "T34                      -1.3768      0.524     -2.626      0.009      -2.405      -0.349\n",
       "T35                      -0.9450      0.498     -1.898      0.058      -1.921       0.031\n",
       "T36                      -1.5244      0.523     -2.916      0.004      -2.549      -0.500\n",
       "T37                      -0.9105      0.522     -1.746      0.081      -1.933       0.112\n",
       "T38                      -0.9225      0.505     -1.826      0.068      -1.913       0.068\n",
       "T39                      -1.0421      0.618     -1.687      0.092      -2.253       0.169\n",
       "T40                       0.3725      0.600      0.621      0.535      -0.804       1.549\n",
       "T41                      -0.5006      0.505     -0.990      0.322      -1.491       0.490\n",
       "T42                      -1.6650      0.558     -2.986      0.003      -2.758      -0.572\n",
       "T43                      -0.7330      0.522     -1.404      0.160      -1.756       0.290\n",
       "T44                      -1.0954      0.413     -2.654      0.008      -1.904      -0.286\n",
       "T45                       0.5731      0.517      1.107      0.268      -0.441       1.587\n",
       "T46                      -1.2644      0.484     -2.615      0.009      -2.212      -0.316\n",
       "T47                      -1.3192      0.378     -3.486      0.000      -2.061      -0.577\n",
       "T48                      -0.8579      0.460     -1.865      0.062      -1.760       0.044\n",
       "T49                      -1.1692      0.403     -2.898      0.004      -1.960      -0.378\n",
       "==============================================================================\n",
       "Omnibus:                       25.360   Durbin-Watson:                   1.903\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):               28.702\n",
       "Skew:                          -0.086   Prob(JB):                     5.85e-07\n",
       "Kurtosis:                       3.236   Cond. No.                     3.59e+04\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "[2] The condition number is large, 3.59e+04. This might indicate that there are\n",
       "strong multicollinearity or other numerical problems.\n",
       "\"\"\""
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Supplemental Table S7. Heterogenous Effects\n",
    "#Model S1: FA-based Top 20 Institution Model\n",
    "model_S1 = sm.OLS(np.log10(regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top20_Inst'])]['Citations_Received']+1),\n",
    "               regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top20_Inst'])][['Const','FA_Female','FA_European', 'FA_Asian', 'FA_Slavic', 'FA_Hispanic/Latino', 'FA_African', 'FA_Jewish','FA_Other','FA_South',\n",
    "                                                                                                                        'Mixed_Gender','Cross_Ethnic','Cross_Regional','International','Cited_Outgroup',\n",
    "                                                                                                                        'Team_Size', 'Cited_References','Article_Age','Journal_Prestige','FA_Author_Publication','FA_Author_Reputation','FA_Affliation_Weight']+['T'+str(i) for i in range(1,50)]],missing='drop')\n",
    "results_S1 = model_S1.fit(maxiter=100)\n",
    "results_S1.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "01de4314-8dc2-4e84-955b-15645d15ea75",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>    <td>Citations_Received</td> <th>  R-squared:         </th> <td>   0.428</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                    <td>OLS</td>        <th>  Adj. R-squared:    </th> <td>   0.425</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>              <td>Least Squares</td>   <th>  F-statistic:       </th> <td>   117.9</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>              <td>Sat, 28 Sep 2024</td>  <th>  Prob (F-statistic):</th>  <td>  0.00</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                  <td>22:25:16</td>      <th>  Log-Likelihood:    </th> <td> -6287.5</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>       <td> 11085</td>       <th>  AIC:               </th> <td>1.272e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>           <td> 11014</td>       <th>  BIC:               </th> <td>1.324e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>               <td>    70</td>       <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>       <td>nonrobust</td>     <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "            <td></td>               <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Const</th>                 <td>    1.3884</td> <td>    0.284</td> <td>    4.885</td> <td> 0.000</td> <td>    0.831</td> <td>    1.946</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Female</th>             <td>    0.0367</td> <td>    0.009</td> <td>    3.923</td> <td> 0.000</td> <td>    0.018</td> <td>    0.055</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_European</th>           <td>   -0.0019</td> <td>    0.011</td> <td>   -0.176</td> <td> 0.860</td> <td>   -0.023</td> <td>    0.020</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Asian</th>              <td>   -0.0519</td> <td>    0.018</td> <td>   -2.824</td> <td> 0.005</td> <td>   -0.088</td> <td>   -0.016</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Slavic</th>             <td>   -0.0537</td> <td>    0.020</td> <td>   -2.657</td> <td> 0.008</td> <td>   -0.093</td> <td>   -0.014</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Hispanic/Latino</th>    <td>   -0.0392</td> <td>    0.020</td> <td>   -1.971</td> <td> 0.049</td> <td>   -0.078</td> <td>   -0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_African</th>            <td>   -0.0816</td> <td>    0.021</td> <td>   -3.795</td> <td> 0.000</td> <td>   -0.124</td> <td>   -0.039</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Jewish</th>             <td>   -0.0782</td> <td>    0.025</td> <td>   -3.182</td> <td> 0.001</td> <td>   -0.126</td> <td>   -0.030</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Other</th>              <td>   -0.0284</td> <td>    0.022</td> <td>   -1.265</td> <td> 0.206</td> <td>   -0.072</td> <td>    0.016</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_South</th>              <td>    0.1508</td> <td>    0.130</td> <td>    1.156</td> <td> 0.248</td> <td>   -0.105</td> <td>    0.407</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Mixed_Gender</th>          <td>   -0.0053</td> <td>    0.014</td> <td>   -0.391</td> <td> 0.696</td> <td>   -0.032</td> <td>    0.021</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Ethnic</th>          <td>    0.0381</td> <td>    0.013</td> <td>    2.945</td> <td> 0.003</td> <td>    0.013</td> <td>    0.064</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Regional</th>        <td>   -0.0917</td> <td>    0.035</td> <td>   -2.637</td> <td> 0.008</td> <td>   -0.160</td> <td>   -0.024</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>International</th>         <td>    0.0366</td> <td>    0.016</td> <td>    2.358</td> <td> 0.018</td> <td>    0.006</td> <td>    0.067</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_Outgroup</th>        <td>    0.0113</td> <td>    0.028</td> <td>    0.405</td> <td> 0.685</td> <td>   -0.043</td> <td>    0.066</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Size</th>             <td>    0.0577</td> <td>    0.008</td> <td>    7.124</td> <td> 0.000</td> <td>    0.042</td> <td>    0.074</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_References</th>      <td>    0.0034</td> <td>    0.000</td> <td>   22.017</td> <td> 0.000</td> <td>    0.003</td> <td>    0.004</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Article_Age</th>           <td>    0.0376</td> <td>    0.001</td> <td>   29.451</td> <td> 0.000</td> <td>    0.035</td> <td>    0.040</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Journal_Prestige</th>      <td>    0.0098</td> <td>    0.000</td> <td>   44.247</td> <td> 0.000</td> <td>    0.009</td> <td>    0.010</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Publication</th> <td>    0.0115</td> <td>    0.002</td> <td>    6.823</td> <td> 0.000</td> <td>    0.008</td> <td>    0.015</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Reputation</th>  <td>    0.0011</td> <td> 8.34e-05</td> <td>   13.271</td> <td> 0.000</td> <td>    0.001</td> <td>    0.001</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Affliation_Weight</th>  <td>    3.0001</td> <td>    1.847</td> <td>    1.624</td> <td> 0.104</td> <td>   -0.620</td> <td>    6.620</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T1</th>                    <td>   -1.5820</td> <td>    0.459</td> <td>   -3.449</td> <td> 0.001</td> <td>   -2.481</td> <td>   -0.683</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T2</th>                    <td>   -2.4015</td> <td>    0.477</td> <td>   -5.033</td> <td> 0.000</td> <td>   -3.337</td> <td>   -1.466</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T3</th>                    <td>   -1.8614</td> <td>    0.524</td> <td>   -3.551</td> <td> 0.000</td> <td>   -2.889</td> <td>   -0.834</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T4</th>                    <td>   -1.5823</td> <td>    0.441</td> <td>   -3.587</td> <td> 0.000</td> <td>   -2.447</td> <td>   -0.718</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T5</th>                    <td>   -1.8700</td> <td>    0.500</td> <td>   -3.740</td> <td> 0.000</td> <td>   -2.850</td> <td>   -0.890</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T6</th>                    <td>   -1.2474</td> <td>    0.516</td> <td>   -2.419</td> <td> 0.016</td> <td>   -2.258</td> <td>   -0.236</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T7</th>                    <td>   -2.4581</td> <td>    0.487</td> <td>   -5.046</td> <td> 0.000</td> <td>   -3.413</td> <td>   -1.503</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T8</th>                    <td>   -1.8527</td> <td>    0.414</td> <td>   -4.478</td> <td> 0.000</td> <td>   -2.664</td> <td>   -1.042</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T9</th>                    <td>   -1.7475</td> <td>    0.476</td> <td>   -3.673</td> <td> 0.000</td> <td>   -2.680</td> <td>   -0.815</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T10</th>                   <td>   -2.9189</td> <td>    0.485</td> <td>   -6.021</td> <td> 0.000</td> <td>   -3.869</td> <td>   -1.969</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T11</th>                   <td>   -2.4734</td> <td>    0.478</td> <td>   -5.179</td> <td> 0.000</td> <td>   -3.410</td> <td>   -1.537</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T12</th>                   <td>   -1.1295</td> <td>    0.511</td> <td>   -2.209</td> <td> 0.027</td> <td>   -2.132</td> <td>   -0.127</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T13</th>                   <td>   -1.3073</td> <td>    0.435</td> <td>   -3.005</td> <td> 0.003</td> <td>   -2.160</td> <td>   -0.455</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T14</th>                   <td>   -1.8292</td> <td>    0.485</td> <td>   -3.771</td> <td> 0.000</td> <td>   -2.780</td> <td>   -0.878</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T15</th>                   <td>   -0.8630</td> <td>    0.473</td> <td>   -1.823</td> <td> 0.068</td> <td>   -1.791</td> <td>    0.065</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T16</th>                   <td>   -2.0607</td> <td>    0.422</td> <td>   -4.880</td> <td> 0.000</td> <td>   -2.888</td> <td>   -1.233</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T17</th>                   <td>   -0.6168</td> <td>    0.465</td> <td>   -1.326</td> <td> 0.185</td> <td>   -1.529</td> <td>    0.295</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T18</th>                   <td>   -0.3521</td> <td>    0.457</td> <td>   -0.771</td> <td> 0.441</td> <td>   -1.248</td> <td>    0.543</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T19</th>                   <td>   -0.5633</td> <td>    0.492</td> <td>   -1.144</td> <td> 0.253</td> <td>   -1.529</td> <td>    0.402</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T20</th>                   <td>   -2.1385</td> <td>    0.516</td> <td>   -4.141</td> <td> 0.000</td> <td>   -3.151</td> <td>   -1.126</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T21</th>                   <td>   -1.7539</td> <td>    0.441</td> <td>   -3.981</td> <td> 0.000</td> <td>   -2.617</td> <td>   -0.890</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T22</th>                   <td>   -2.4880</td> <td>    0.494</td> <td>   -5.034</td> <td> 0.000</td> <td>   -3.457</td> <td>   -1.519</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T23</th>                   <td>   -0.2707</td> <td>    0.439</td> <td>   -0.617</td> <td> 0.537</td> <td>   -1.131</td> <td>    0.590</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T24</th>                   <td>   -1.8775</td> <td>    0.457</td> <td>   -4.111</td> <td> 0.000</td> <td>   -2.773</td> <td>   -0.982</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T25</th>                   <td>   -1.9887</td> <td>    0.499</td> <td>   -3.982</td> <td> 0.000</td> <td>   -2.968</td> <td>   -1.010</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T26</th>                   <td>   -1.4417</td> <td>    0.370</td> <td>   -3.898</td> <td> 0.000</td> <td>   -2.167</td> <td>   -0.717</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T27</th>                   <td>   -1.7548</td> <td>    0.503</td> <td>   -3.489</td> <td> 0.000</td> <td>   -2.741</td> <td>   -0.769</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T28</th>                   <td>   -0.8675</td> <td>    0.466</td> <td>   -1.862</td> <td> 0.063</td> <td>   -1.781</td> <td>    0.046</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T29</th>                   <td>   -0.7485</td> <td>    0.491</td> <td>   -1.526</td> <td> 0.127</td> <td>   -1.710</td> <td>    0.213</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T30</th>                   <td>   -2.3476</td> <td>    0.508</td> <td>   -4.619</td> <td> 0.000</td> <td>   -3.344</td> <td>   -1.351</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T31</th>                   <td>   -2.2693</td> <td>    0.457</td> <td>   -4.964</td> <td> 0.000</td> <td>   -3.165</td> <td>   -1.373</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T32</th>                   <td>   -0.9268</td> <td>    0.458</td> <td>   -2.023</td> <td> 0.043</td> <td>   -1.825</td> <td>   -0.029</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T33</th>                   <td>   -0.7419</td> <td>    0.505</td> <td>   -1.470</td> <td> 0.142</td> <td>   -1.731</td> <td>    0.247</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T34</th>                   <td>   -1.1537</td> <td>    0.448</td> <td>   -2.575</td> <td> 0.010</td> <td>   -2.032</td> <td>   -0.275</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T35</th>                   <td>   -0.5201</td> <td>    0.423</td> <td>   -1.230</td> <td> 0.219</td> <td>   -1.349</td> <td>    0.309</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T36</th>                   <td>   -1.4910</td> <td>    0.449</td> <td>   -3.320</td> <td> 0.001</td> <td>   -2.371</td> <td>   -0.611</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T37</th>                   <td>   -0.6313</td> <td>    0.439</td> <td>   -1.438</td> <td> 0.150</td> <td>   -1.492</td> <td>    0.229</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T38</th>                   <td>   -0.5355</td> <td>    0.420</td> <td>   -1.274</td> <td> 0.203</td> <td>   -1.360</td> <td>    0.289</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T39</th>                   <td>   -0.9703</td> <td>    0.527</td> <td>   -1.841</td> <td> 0.066</td> <td>   -2.003</td> <td>    0.063</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T40</th>                   <td>    0.4684</td> <td>    0.509</td> <td>    0.920</td> <td> 0.357</td> <td>   -0.529</td> <td>    1.466</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T41</th>                   <td>   -0.4718</td> <td>    0.431</td> <td>   -1.094</td> <td> 0.274</td> <td>   -1.318</td> <td>    0.374</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T42</th>                   <td>   -1.4081</td> <td>    0.479</td> <td>   -2.940</td> <td> 0.003</td> <td>   -2.347</td> <td>   -0.469</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T43</th>                   <td>   -0.6356</td> <td>    0.445</td> <td>   -1.430</td> <td> 0.153</td> <td>   -1.507</td> <td>    0.236</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T44</th>                   <td>   -0.7639</td> <td>    0.351</td> <td>   -2.175</td> <td> 0.030</td> <td>   -1.452</td> <td>   -0.076</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T45</th>                   <td>    0.3785</td> <td>    0.442</td> <td>    0.856</td> <td> 0.392</td> <td>   -0.488</td> <td>    1.245</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T46</th>                   <td>   -1.2244</td> <td>    0.414</td> <td>   -2.959</td> <td> 0.003</td> <td>   -2.036</td> <td>   -0.413</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T47</th>                   <td>   -1.2461</td> <td>    0.327</td> <td>   -3.805</td> <td> 0.000</td> <td>   -1.888</td> <td>   -0.604</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T48</th>                   <td>   -0.6484</td> <td>    0.394</td> <td>   -1.644</td> <td> 0.100</td> <td>   -1.422</td> <td>    0.125</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T49</th>                   <td>   -0.7686</td> <td>    0.348</td> <td>   -2.211</td> <td> 0.027</td> <td>   -1.450</td> <td>   -0.087</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>62.935</td> <th>  Durbin-Watson:     </th> <td>   1.919</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.000</td> <th>  Jarque-Bera (JB):  </th> <td>  78.740</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td>-0.103</td> <th>  Prob(JB):          </th> <td>7.98e-18</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 3.358</td> <th>  Cond. No.          </th> <td>3.55e+04</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.<br/>[2] The condition number is large, 3.55e+04. This might indicate that there are<br/>strong multicollinearity or other numerical problems."
      ],
      "text/latex": [
       "\\begin{center}\n",
       "\\begin{tabular}{lclc}\n",
       "\\toprule\n",
       "\\textbf{Dep. Variable:}          & Citations\\_Received & \\textbf{  R-squared:         } &     0.428   \\\\\n",
       "\\textbf{Model:}                  &         OLS         & \\textbf{  Adj. R-squared:    } &     0.425   \\\\\n",
       "\\textbf{Method:}                 &    Least Squares    & \\textbf{  F-statistic:       } &     117.9   \\\\\n",
       "\\textbf{Date:}                   &   Sat, 28 Sep 2024  & \\textbf{  Prob (F-statistic):} &     0.00    \\\\\n",
       "\\textbf{Time:}                   &       22:25:16      & \\textbf{  Log-Likelihood:    } &   -6287.5   \\\\\n",
       "\\textbf{No. Observations:}       &         11085       & \\textbf{  AIC:               } & 1.272e+04   \\\\\n",
       "\\textbf{Df Residuals:}           &         11014       & \\textbf{  BIC:               } & 1.324e+04   \\\\\n",
       "\\textbf{Df Model:}               &            70       & \\textbf{                     } &             \\\\\n",
       "\\textbf{Covariance Type:}        &      nonrobust      & \\textbf{                     } &             \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lcccccc}\n",
       "                                 & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]}  \\\\\n",
       "\\midrule\n",
       "\\textbf{Const}                   &       1.3884  &        0.284     &     4.885  &         0.000        &        0.831    &        1.946     \\\\\n",
       "\\textbf{FA\\_Female}              &       0.0367  &        0.009     &     3.923  &         0.000        &        0.018    &        0.055     \\\\\n",
       "\\textbf{FA\\_European}            &      -0.0019  &        0.011     &    -0.176  &         0.860        &       -0.023    &        0.020     \\\\\n",
       "\\textbf{FA\\_Asian}               &      -0.0519  &        0.018     &    -2.824  &         0.005        &       -0.088    &       -0.016     \\\\\n",
       "\\textbf{FA\\_Slavic}              &      -0.0537  &        0.020     &    -2.657  &         0.008        &       -0.093    &       -0.014     \\\\\n",
       "\\textbf{FA\\_Hispanic/Latino}     &      -0.0392  &        0.020     &    -1.971  &         0.049        &       -0.078    &       -0.000     \\\\\n",
       "\\textbf{FA\\_African}             &      -0.0816  &        0.021     &    -3.795  &         0.000        &       -0.124    &       -0.039     \\\\\n",
       "\\textbf{FA\\_Jewish}              &      -0.0782  &        0.025     &    -3.182  &         0.001        &       -0.126    &       -0.030     \\\\\n",
       "\\textbf{FA\\_Other}               &      -0.0284  &        0.022     &    -1.265  &         0.206        &       -0.072    &        0.016     \\\\\n",
       "\\textbf{FA\\_South}               &       0.1508  &        0.130     &     1.156  &         0.248        &       -0.105    &        0.407     \\\\\n",
       "\\textbf{Mixed\\_Gender}           &      -0.0053  &        0.014     &    -0.391  &         0.696        &       -0.032    &        0.021     \\\\\n",
       "\\textbf{Cross\\_Ethnic}           &       0.0381  &        0.013     &     2.945  &         0.003        &        0.013    &        0.064     \\\\\n",
       "\\textbf{Cross\\_Regional}         &      -0.0917  &        0.035     &    -2.637  &         0.008        &       -0.160    &       -0.024     \\\\\n",
       "\\textbf{International}           &       0.0366  &        0.016     &     2.358  &         0.018        &        0.006    &        0.067     \\\\\n",
       "\\textbf{Cited\\_Outgroup}         &       0.0113  &        0.028     &     0.405  &         0.685        &       -0.043    &        0.066     \\\\\n",
       "\\textbf{Team\\_Size}              &       0.0577  &        0.008     &     7.124  &         0.000        &        0.042    &        0.074     \\\\\n",
       "\\textbf{Cited\\_References}       &       0.0034  &        0.000     &    22.017  &         0.000        &        0.003    &        0.004     \\\\\n",
       "\\textbf{Article\\_Age}            &       0.0376  &        0.001     &    29.451  &         0.000        &        0.035    &        0.040     \\\\\n",
       "\\textbf{Journal\\_Prestige}       &       0.0098  &        0.000     &    44.247  &         0.000        &        0.009    &        0.010     \\\\\n",
       "\\textbf{FA\\_Author\\_Publication} &       0.0115  &        0.002     &     6.823  &         0.000        &        0.008    &        0.015     \\\\\n",
       "\\textbf{FA\\_Author\\_Reputation}  &       0.0011  &     8.34e-05     &    13.271  &         0.000        &        0.001    &        0.001     \\\\\n",
       "\\textbf{FA\\_Affliation\\_Weight}  &       3.0001  &        1.847     &     1.624  &         0.104        &       -0.620    &        6.620     \\\\\n",
       "\\textbf{T1}                      &      -1.5820  &        0.459     &    -3.449  &         0.001        &       -2.481    &       -0.683     \\\\\n",
       "\\textbf{T2}                      &      -2.4015  &        0.477     &    -5.033  &         0.000        &       -3.337    &       -1.466     \\\\\n",
       "\\textbf{T3}                      &      -1.8614  &        0.524     &    -3.551  &         0.000        &       -2.889    &       -0.834     \\\\\n",
       "\\textbf{T4}                      &      -1.5823  &        0.441     &    -3.587  &         0.000        &       -2.447    &       -0.718     \\\\\n",
       "\\textbf{T5}                      &      -1.8700  &        0.500     &    -3.740  &         0.000        &       -2.850    &       -0.890     \\\\\n",
       "\\textbf{T6}                      &      -1.2474  &        0.516     &    -2.419  &         0.016        &       -2.258    &       -0.236     \\\\\n",
       "\\textbf{T7}                      &      -2.4581  &        0.487     &    -5.046  &         0.000        &       -3.413    &       -1.503     \\\\\n",
       "\\textbf{T8}                      &      -1.8527  &        0.414     &    -4.478  &         0.000        &       -2.664    &       -1.042     \\\\\n",
       "\\textbf{T9}                      &      -1.7475  &        0.476     &    -3.673  &         0.000        &       -2.680    &       -0.815     \\\\\n",
       "\\textbf{T10}                     &      -2.9189  &        0.485     &    -6.021  &         0.000        &       -3.869    &       -1.969     \\\\\n",
       "\\textbf{T11}                     &      -2.4734  &        0.478     &    -5.179  &         0.000        &       -3.410    &       -1.537     \\\\\n",
       "\\textbf{T12}                     &      -1.1295  &        0.511     &    -2.209  &         0.027        &       -2.132    &       -0.127     \\\\\n",
       "\\textbf{T13}                     &      -1.3073  &        0.435     &    -3.005  &         0.003        &       -2.160    &       -0.455     \\\\\n",
       "\\textbf{T14}                     &      -1.8292  &        0.485     &    -3.771  &         0.000        &       -2.780    &       -0.878     \\\\\n",
       "\\textbf{T15}                     &      -0.8630  &        0.473     &    -1.823  &         0.068        &       -1.791    &        0.065     \\\\\n",
       "\\textbf{T16}                     &      -2.0607  &        0.422     &    -4.880  &         0.000        &       -2.888    &       -1.233     \\\\\n",
       "\\textbf{T17}                     &      -0.6168  &        0.465     &    -1.326  &         0.185        &       -1.529    &        0.295     \\\\\n",
       "\\textbf{T18}                     &      -0.3521  &        0.457     &    -0.771  &         0.441        &       -1.248    &        0.543     \\\\\n",
       "\\textbf{T19}                     &      -0.5633  &        0.492     &    -1.144  &         0.253        &       -1.529    &        0.402     \\\\\n",
       "\\textbf{T20}                     &      -2.1385  &        0.516     &    -4.141  &         0.000        &       -3.151    &       -1.126     \\\\\n",
       "\\textbf{T21}                     &      -1.7539  &        0.441     &    -3.981  &         0.000        &       -2.617    &       -0.890     \\\\\n",
       "\\textbf{T22}                     &      -2.4880  &        0.494     &    -5.034  &         0.000        &       -3.457    &       -1.519     \\\\\n",
       "\\textbf{T23}                     &      -0.2707  &        0.439     &    -0.617  &         0.537        &       -1.131    &        0.590     \\\\\n",
       "\\textbf{T24}                     &      -1.8775  &        0.457     &    -4.111  &         0.000        &       -2.773    &       -0.982     \\\\\n",
       "\\textbf{T25}                     &      -1.9887  &        0.499     &    -3.982  &         0.000        &       -2.968    &       -1.010     \\\\\n",
       "\\textbf{T26}                     &      -1.4417  &        0.370     &    -3.898  &         0.000        &       -2.167    &       -0.717     \\\\\n",
       "\\textbf{T27}                     &      -1.7548  &        0.503     &    -3.489  &         0.000        &       -2.741    &       -0.769     \\\\\n",
       "\\textbf{T28}                     &      -0.8675  &        0.466     &    -1.862  &         0.063        &       -1.781    &        0.046     \\\\\n",
       "\\textbf{T29}                     &      -0.7485  &        0.491     &    -1.526  &         0.127        &       -1.710    &        0.213     \\\\\n",
       "\\textbf{T30}                     &      -2.3476  &        0.508     &    -4.619  &         0.000        &       -3.344    &       -1.351     \\\\\n",
       "\\textbf{T31}                     &      -2.2693  &        0.457     &    -4.964  &         0.000        &       -3.165    &       -1.373     \\\\\n",
       "\\textbf{T32}                     &      -0.9268  &        0.458     &    -2.023  &         0.043        &       -1.825    &       -0.029     \\\\\n",
       "\\textbf{T33}                     &      -0.7419  &        0.505     &    -1.470  &         0.142        &       -1.731    &        0.247     \\\\\n",
       "\\textbf{T34}                     &      -1.1537  &        0.448     &    -2.575  &         0.010        &       -2.032    &       -0.275     \\\\\n",
       "\\textbf{T35}                     &      -0.5201  &        0.423     &    -1.230  &         0.219        &       -1.349    &        0.309     \\\\\n",
       "\\textbf{T36}                     &      -1.4910  &        0.449     &    -3.320  &         0.001        &       -2.371    &       -0.611     \\\\\n",
       "\\textbf{T37}                     &      -0.6313  &        0.439     &    -1.438  &         0.150        &       -1.492    &        0.229     \\\\\n",
       "\\textbf{T38}                     &      -0.5355  &        0.420     &    -1.274  &         0.203        &       -1.360    &        0.289     \\\\\n",
       "\\textbf{T39}                     &      -0.9703  &        0.527     &    -1.841  &         0.066        &       -2.003    &        0.063     \\\\\n",
       "\\textbf{T40}                     &       0.4684  &        0.509     &     0.920  &         0.357        &       -0.529    &        1.466     \\\\\n",
       "\\textbf{T41}                     &      -0.4718  &        0.431     &    -1.094  &         0.274        &       -1.318    &        0.374     \\\\\n",
       "\\textbf{T42}                     &      -1.4081  &        0.479     &    -2.940  &         0.003        &       -2.347    &       -0.469     \\\\\n",
       "\\textbf{T43}                     &      -0.6356  &        0.445     &    -1.430  &         0.153        &       -1.507    &        0.236     \\\\\n",
       "\\textbf{T44}                     &      -0.7639  &        0.351     &    -2.175  &         0.030        &       -1.452    &       -0.076     \\\\\n",
       "\\textbf{T45}                     &       0.3785  &        0.442     &     0.856  &         0.392        &       -0.488    &        1.245     \\\\\n",
       "\\textbf{T46}                     &      -1.2244  &        0.414     &    -2.959  &         0.003        &       -2.036    &       -0.413     \\\\\n",
       "\\textbf{T47}                     &      -1.2461  &        0.327     &    -3.805  &         0.000        &       -1.888    &       -0.604     \\\\\n",
       "\\textbf{T48}                     &      -0.6484  &        0.394     &    -1.644  &         0.100        &       -1.422    &        0.125     \\\\\n",
       "\\textbf{T49}                     &      -0.7686  &        0.348     &    -2.211  &         0.027        &       -1.450    &       -0.087     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lclc}\n",
       "\\textbf{Omnibus:}       & 62.935 & \\textbf{  Durbin-Watson:     } &    1.919  \\\\\n",
       "\\textbf{Prob(Omnibus):} &  0.000 & \\textbf{  Jarque-Bera (JB):  } &   78.740  \\\\\n",
       "\\textbf{Skew:}          & -0.103 & \\textbf{  Prob(JB):          } & 7.98e-18  \\\\\n",
       "\\textbf{Kurtosis:}      &  3.358 & \\textbf{  Cond. No.          } & 3.55e+04  \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "%\\caption{OLS Regression Results}\n",
       "\\end{center}\n",
       "\n",
       "Notes: \\newline\n",
       " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
       " [2] The condition number is large, 3.55e+04. This might indicate that there are \\newline\n",
       " strong multicollinearity or other numerical problems."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:     Citations_Received   R-squared:                       0.428\n",
       "Model:                            OLS   Adj. R-squared:                  0.425\n",
       "Method:                 Least Squares   F-statistic:                     117.9\n",
       "Date:                Sat, 28 Sep 2024   Prob (F-statistic):               0.00\n",
       "Time:                        22:25:16   Log-Likelihood:                -6287.5\n",
       "No. Observations:               11085   AIC:                         1.272e+04\n",
       "Df Residuals:                   11014   BIC:                         1.324e+04\n",
       "Df Model:                          70                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "=========================================================================================\n",
       "                            coef    std err          t      P>|t|      [0.025      0.975]\n",
       "-----------------------------------------------------------------------------------------\n",
       "Const                     1.3884      0.284      4.885      0.000       0.831       1.946\n",
       "FA_Female                 0.0367      0.009      3.923      0.000       0.018       0.055\n",
       "FA_European              -0.0019      0.011     -0.176      0.860      -0.023       0.020\n",
       "FA_Asian                 -0.0519      0.018     -2.824      0.005      -0.088      -0.016\n",
       "FA_Slavic                -0.0537      0.020     -2.657      0.008      -0.093      -0.014\n",
       "FA_Hispanic/Latino       -0.0392      0.020     -1.971      0.049      -0.078      -0.000\n",
       "FA_African               -0.0816      0.021     -3.795      0.000      -0.124      -0.039\n",
       "FA_Jewish                -0.0782      0.025     -3.182      0.001      -0.126      -0.030\n",
       "FA_Other                 -0.0284      0.022     -1.265      0.206      -0.072       0.016\n",
       "FA_South                  0.1508      0.130      1.156      0.248      -0.105       0.407\n",
       "Mixed_Gender             -0.0053      0.014     -0.391      0.696      -0.032       0.021\n",
       "Cross_Ethnic              0.0381      0.013      2.945      0.003       0.013       0.064\n",
       "Cross_Regional           -0.0917      0.035     -2.637      0.008      -0.160      -0.024\n",
       "International             0.0366      0.016      2.358      0.018       0.006       0.067\n",
       "Cited_Outgroup            0.0113      0.028      0.405      0.685      -0.043       0.066\n",
       "Team_Size                 0.0577      0.008      7.124      0.000       0.042       0.074\n",
       "Cited_References          0.0034      0.000     22.017      0.000       0.003       0.004\n",
       "Article_Age               0.0376      0.001     29.451      0.000       0.035       0.040\n",
       "Journal_Prestige          0.0098      0.000     44.247      0.000       0.009       0.010\n",
       "FA_Author_Publication     0.0115      0.002      6.823      0.000       0.008       0.015\n",
       "FA_Author_Reputation      0.0011   8.34e-05     13.271      0.000       0.001       0.001\n",
       "FA_Affliation_Weight      3.0001      1.847      1.624      0.104      -0.620       6.620\n",
       "T1                       -1.5820      0.459     -3.449      0.001      -2.481      -0.683\n",
       "T2                       -2.4015      0.477     -5.033      0.000      -3.337      -1.466\n",
       "T3                       -1.8614      0.524     -3.551      0.000      -2.889      -0.834\n",
       "T4                       -1.5823      0.441     -3.587      0.000      -2.447      -0.718\n",
       "T5                       -1.8700      0.500     -3.740      0.000      -2.850      -0.890\n",
       "T6                       -1.2474      0.516     -2.419      0.016      -2.258      -0.236\n",
       "T7                       -2.4581      0.487     -5.046      0.000      -3.413      -1.503\n",
       "T8                       -1.8527      0.414     -4.478      0.000      -2.664      -1.042\n",
       "T9                       -1.7475      0.476     -3.673      0.000      -2.680      -0.815\n",
       "T10                      -2.9189      0.485     -6.021      0.000      -3.869      -1.969\n",
       "T11                      -2.4734      0.478     -5.179      0.000      -3.410      -1.537\n",
       "T12                      -1.1295      0.511     -2.209      0.027      -2.132      -0.127\n",
       "T13                      -1.3073      0.435     -3.005      0.003      -2.160      -0.455\n",
       "T14                      -1.8292      0.485     -3.771      0.000      -2.780      -0.878\n",
       "T15                      -0.8630      0.473     -1.823      0.068      -1.791       0.065\n",
       "T16                      -2.0607      0.422     -4.880      0.000      -2.888      -1.233\n",
       "T17                      -0.6168      0.465     -1.326      0.185      -1.529       0.295\n",
       "T18                      -0.3521      0.457     -0.771      0.441      -1.248       0.543\n",
       "T19                      -0.5633      0.492     -1.144      0.253      -1.529       0.402\n",
       "T20                      -2.1385      0.516     -4.141      0.000      -3.151      -1.126\n",
       "T21                      -1.7539      0.441     -3.981      0.000      -2.617      -0.890\n",
       "T22                      -2.4880      0.494     -5.034      0.000      -3.457      -1.519\n",
       "T23                      -0.2707      0.439     -0.617      0.537      -1.131       0.590\n",
       "T24                      -1.8775      0.457     -4.111      0.000      -2.773      -0.982\n",
       "T25                      -1.9887      0.499     -3.982      0.000      -2.968      -1.010\n",
       "T26                      -1.4417      0.370     -3.898      0.000      -2.167      -0.717\n",
       "T27                      -1.7548      0.503     -3.489      0.000      -2.741      -0.769\n",
       "T28                      -0.8675      0.466     -1.862      0.063      -1.781       0.046\n",
       "T29                      -0.7485      0.491     -1.526      0.127      -1.710       0.213\n",
       "T30                      -2.3476      0.508     -4.619      0.000      -3.344      -1.351\n",
       "T31                      -2.2693      0.457     -4.964      0.000      -3.165      -1.373\n",
       "T32                      -0.9268      0.458     -2.023      0.043      -1.825      -0.029\n",
       "T33                      -0.7419      0.505     -1.470      0.142      -1.731       0.247\n",
       "T34                      -1.1537      0.448     -2.575      0.010      -2.032      -0.275\n",
       "T35                      -0.5201      0.423     -1.230      0.219      -1.349       0.309\n",
       "T36                      -1.4910      0.449     -3.320      0.001      -2.371      -0.611\n",
       "T37                      -0.6313      0.439     -1.438      0.150      -1.492       0.229\n",
       "T38                      -0.5355      0.420     -1.274      0.203      -1.360       0.289\n",
       "T39                      -0.9703      0.527     -1.841      0.066      -2.003       0.063\n",
       "T40                       0.4684      0.509      0.920      0.357      -0.529       1.466\n",
       "T41                      -0.4718      0.431     -1.094      0.274      -1.318       0.374\n",
       "T42                      -1.4081      0.479     -2.940      0.003      -2.347      -0.469\n",
       "T43                      -0.6356      0.445     -1.430      0.153      -1.507       0.236\n",
       "T44                      -0.7639      0.351     -2.175      0.030      -1.452      -0.076\n",
       "T45                       0.3785      0.442      0.856      0.392      -0.488       1.245\n",
       "T46                      -1.2244      0.414     -2.959      0.003      -2.036      -0.413\n",
       "T47                      -1.2461      0.327     -3.805      0.000      -1.888      -0.604\n",
       "T48                      -0.6484      0.394     -1.644      0.100      -1.422       0.125\n",
       "T49                      -0.7686      0.348     -2.211      0.027      -1.450      -0.087\n",
       "==============================================================================\n",
       "Omnibus:                       62.935   Durbin-Watson:                   1.919\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):               78.740\n",
       "Skew:                          -0.103   Prob(JB):                     7.98e-18\n",
       "Kurtosis:                       3.358   Cond. No.                     3.55e+04\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "[2] The condition number is large, 3.55e+04. This might indicate that there are\n",
       "strong multicollinearity or other numerical problems.\n",
       "\"\"\""
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Supplemental Table S7. Heterogenous Effects\n",
    "#Model S2: FA-based Top 30 Institution Model\n",
    "model_S2 = sm.OLS(np.log10(regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top30_Inst'])]['Citations_Received']+1),\n",
    "               regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top30_Inst'])][['Const','FA_Female','FA_European', 'FA_Asian', 'FA_Slavic', 'FA_Hispanic/Latino', 'FA_African', 'FA_Jewish','FA_Other','FA_South',\n",
    "                                                                                                                        'Mixed_Gender','Cross_Ethnic','Cross_Regional','International','Cited_Outgroup',\n",
    "                                                                                                                        'Team_Size', 'Cited_References','Article_Age','Journal_Prestige','FA_Author_Publication','FA_Author_Reputation','FA_Affliation_Weight']+['T'+str(i) for i in range(1,50)]],missing='drop')\n",
    "results_S2 = model_S2.fit(maxiter=100)\n",
    "results_S2.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "5795d1ec-04da-4ed8-a0ce-277d5d3df6a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>    <td>Citations_Received</td> <th>  R-squared:         </th> <td>   0.427</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                    <td>OLS</td>        <th>  Adj. R-squared:    </th> <td>   0.424</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>              <td>Least Squares</td>   <th>  F-statistic:       </th> <td>   145.1</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>              <td>Sat, 28 Sep 2024</td>  <th>  Prob (F-statistic):</th>  <td>  0.00</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                  <td>22:25:16</td>      <th>  Log-Likelihood:    </th> <td> -7710.4</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>       <td> 13703</td>       <th>  AIC:               </th> <td>1.556e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>           <td> 13632</td>       <th>  BIC:               </th> <td>1.610e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>               <td>    70</td>       <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>       <td>nonrobust</td>     <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "            <td></td>               <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Const</th>                 <td>    1.1255</td> <td>    0.255</td> <td>    4.412</td> <td> 0.000</td> <td>    0.625</td> <td>    1.625</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Female</th>             <td>    0.0402</td> <td>    0.008</td> <td>    4.763</td> <td> 0.000</td> <td>    0.024</td> <td>    0.057</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_European</th>           <td>   -0.0119</td> <td>    0.009</td> <td>   -1.267</td> <td> 0.205</td> <td>   -0.030</td> <td>    0.007</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Asian</th>              <td>   -0.0543</td> <td>    0.017</td> <td>   -3.254</td> <td> 0.001</td> <td>   -0.087</td> <td>   -0.022</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Slavic</th>             <td>   -0.0521</td> <td>    0.018</td> <td>   -2.834</td> <td> 0.005</td> <td>   -0.088</td> <td>   -0.016</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Hispanic/Latino</th>    <td>   -0.0405</td> <td>    0.018</td> <td>   -2.208</td> <td> 0.027</td> <td>   -0.076</td> <td>   -0.005</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_African</th>            <td>   -0.0919</td> <td>    0.020</td> <td>   -4.701</td> <td> 0.000</td> <td>   -0.130</td> <td>   -0.054</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Jewish</th>             <td>   -0.0753</td> <td>    0.022</td> <td>   -3.394</td> <td> 0.001</td> <td>   -0.119</td> <td>   -0.032</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Other</th>              <td>   -0.0286</td> <td>    0.021</td> <td>   -1.375</td> <td> 0.169</td> <td>   -0.069</td> <td>    0.012</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_South</th>              <td>    0.1380</td> <td>    0.130</td> <td>    1.065</td> <td> 0.287</td> <td>   -0.116</td> <td>    0.392</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Mixed_Gender</th>          <td>   -0.0056</td> <td>    0.012</td> <td>   -0.467</td> <td> 0.641</td> <td>   -0.029</td> <td>    0.018</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Ethnic</th>          <td>    0.0290</td> <td>    0.011</td> <td>    2.544</td> <td> 0.011</td> <td>    0.007</td> <td>    0.051</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Regional</th>        <td>   -0.0608</td> <td>    0.031</td> <td>   -1.942</td> <td> 0.052</td> <td>   -0.122</td> <td>    0.001</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>International</th>         <td>    0.0517</td> <td>    0.014</td> <td>    3.799</td> <td> 0.000</td> <td>    0.025</td> <td>    0.078</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_Outgroup</th>        <td>    0.0499</td> <td>    0.025</td> <td>    2.011</td> <td> 0.044</td> <td>    0.001</td> <td>    0.098</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Size</th>             <td>    0.0541</td> <td>    0.007</td> <td>    7.571</td> <td> 0.000</td> <td>    0.040</td> <td>    0.068</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_References</th>      <td>    0.0034</td> <td>    0.000</td> <td>   24.711</td> <td> 0.000</td> <td>    0.003</td> <td>    0.004</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Article_Age</th>           <td>    0.0368</td> <td>    0.001</td> <td>   32.260</td> <td> 0.000</td> <td>    0.035</td> <td>    0.039</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Journal_Prestige</th>      <td>    0.0099</td> <td>    0.000</td> <td>   49.491</td> <td> 0.000</td> <td>    0.010</td> <td>    0.010</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Publication</th> <td>    0.0107</td> <td>    0.001</td> <td>    7.325</td> <td> 0.000</td> <td>    0.008</td> <td>    0.014</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Reputation</th>  <td>    0.0012</td> <td> 7.85e-05</td> <td>   15.828</td> <td> 0.000</td> <td>    0.001</td> <td>    0.001</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Affliation_Weight</th>  <td>    4.8502</td> <td>    1.643</td> <td>    2.952</td> <td> 0.003</td> <td>    1.629</td> <td>    8.071</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T1</th>                    <td>   -1.4870</td> <td>    0.417</td> <td>   -3.568</td> <td> 0.000</td> <td>   -2.304</td> <td>   -0.670</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T2</th>                    <td>   -2.1368</td> <td>    0.424</td> <td>   -5.036</td> <td> 0.000</td> <td>   -2.969</td> <td>   -1.305</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T3</th>                    <td>   -1.6738</td> <td>    0.471</td> <td>   -3.554</td> <td> 0.000</td> <td>   -2.597</td> <td>   -0.751</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T4</th>                    <td>   -1.4366</td> <td>    0.398</td> <td>   -3.606</td> <td> 0.000</td> <td>   -2.217</td> <td>   -0.656</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T5</th>                    <td>   -1.7022</td> <td>    0.452</td> <td>   -3.768</td> <td> 0.000</td> <td>   -2.588</td> <td>   -0.817</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T6</th>                    <td>   -0.9723</td> <td>    0.467</td> <td>   -2.084</td> <td> 0.037</td> <td>   -1.887</td> <td>   -0.058</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T7</th>                    <td>   -2.1673</td> <td>    0.437</td> <td>   -4.959</td> <td> 0.000</td> <td>   -3.024</td> <td>   -1.311</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T8</th>                    <td>   -1.5333</td> <td>    0.372</td> <td>   -4.124</td> <td> 0.000</td> <td>   -2.262</td> <td>   -0.805</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T9</th>                    <td>   -1.6317</td> <td>    0.423</td> <td>   -3.861</td> <td> 0.000</td> <td>   -2.460</td> <td>   -0.803</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T10</th>                   <td>   -2.5235</td> <td>    0.430</td> <td>   -5.862</td> <td> 0.000</td> <td>   -3.367</td> <td>   -1.680</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T11</th>                   <td>   -2.0890</td> <td>    0.428</td> <td>   -4.882</td> <td> 0.000</td> <td>   -2.928</td> <td>   -1.250</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T12</th>                   <td>   -1.1937</td> <td>    0.458</td> <td>   -2.607</td> <td> 0.009</td> <td>   -2.091</td> <td>   -0.296</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T13</th>                   <td>   -1.1176</td> <td>    0.395</td> <td>   -2.827</td> <td> 0.005</td> <td>   -1.892</td> <td>   -0.343</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T14</th>                   <td>   -1.7453</td> <td>    0.433</td> <td>   -4.029</td> <td> 0.000</td> <td>   -2.595</td> <td>   -0.896</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T15</th>                   <td>   -0.4956</td> <td>    0.421</td> <td>   -1.178</td> <td> 0.239</td> <td>   -1.320</td> <td>    0.329</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T16</th>                   <td>   -1.7522</td> <td>    0.381</td> <td>   -4.595</td> <td> 0.000</td> <td>   -2.500</td> <td>   -1.005</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T17</th>                   <td>   -0.3902</td> <td>    0.419</td> <td>   -0.932</td> <td> 0.351</td> <td>   -1.211</td> <td>    0.430</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T18</th>                   <td>   -0.2838</td> <td>    0.410</td> <td>   -0.691</td> <td> 0.489</td> <td>   -1.088</td> <td>    0.521</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T19</th>                   <td>   -0.5391</td> <td>    0.443</td> <td>   -1.218</td> <td> 0.223</td> <td>   -1.407</td> <td>    0.329</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T20</th>                   <td>   -1.6759</td> <td>    0.467</td> <td>   -3.591</td> <td> 0.000</td> <td>   -2.591</td> <td>   -0.761</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T21</th>                   <td>   -1.4883</td> <td>    0.396</td> <td>   -3.763</td> <td> 0.000</td> <td>   -2.264</td> <td>   -0.713</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T22</th>                   <td>   -1.9043</td> <td>    0.439</td> <td>   -4.334</td> <td> 0.000</td> <td>   -2.766</td> <td>   -1.043</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T23</th>                   <td>   -0.2190</td> <td>    0.394</td> <td>   -0.555</td> <td> 0.579</td> <td>   -0.992</td> <td>    0.554</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T24</th>                   <td>   -1.3136</td> <td>    0.408</td> <td>   -3.217</td> <td> 0.001</td> <td>   -2.114</td> <td>   -0.513</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T25</th>                   <td>   -1.4491</td> <td>    0.443</td> <td>   -3.273</td> <td> 0.001</td> <td>   -2.317</td> <td>   -0.581</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T26</th>                   <td>   -1.1456</td> <td>    0.328</td> <td>   -3.492</td> <td> 0.000</td> <td>   -1.789</td> <td>   -0.503</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T27</th>                   <td>   -1.2378</td> <td>    0.452</td> <td>   -2.741</td> <td> 0.006</td> <td>   -2.123</td> <td>   -0.353</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T28</th>                   <td>   -0.6720</td> <td>    0.418</td> <td>   -1.606</td> <td> 0.108</td> <td>   -1.492</td> <td>    0.148</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T29</th>                   <td>   -0.5574</td> <td>    0.444</td> <td>   -1.255</td> <td> 0.209</td> <td>   -1.428</td> <td>    0.313</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T30</th>                   <td>   -2.1802</td> <td>    0.452</td> <td>   -4.822</td> <td> 0.000</td> <td>   -3.067</td> <td>   -1.294</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T31</th>                   <td>   -2.0503</td> <td>    0.405</td> <td>   -5.058</td> <td> 0.000</td> <td>   -2.845</td> <td>   -1.256</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T32</th>                   <td>   -0.6501</td> <td>    0.416</td> <td>   -1.564</td> <td> 0.118</td> <td>   -1.465</td> <td>    0.165</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T33</th>                   <td>   -0.5758</td> <td>    0.455</td> <td>   -1.265</td> <td> 0.206</td> <td>   -1.468</td> <td>    0.316</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T34</th>                   <td>   -0.8434</td> <td>    0.396</td> <td>   -2.129</td> <td> 0.033</td> <td>   -1.620</td> <td>   -0.067</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T35</th>                   <td>   -0.4922</td> <td>    0.378</td> <td>   -1.301</td> <td> 0.193</td> <td>   -1.234</td> <td>    0.249</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T36</th>                   <td>   -1.3288</td> <td>    0.400</td> <td>   -3.323</td> <td> 0.001</td> <td>   -2.113</td> <td>   -0.545</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T37</th>                   <td>   -0.3894</td> <td>    0.392</td> <td>   -0.993</td> <td> 0.321</td> <td>   -1.158</td> <td>    0.379</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T38</th>                   <td>   -0.3511</td> <td>    0.372</td> <td>   -0.944</td> <td> 0.345</td> <td>   -1.080</td> <td>    0.378</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T39</th>                   <td>   -0.9495</td> <td>    0.473</td> <td>   -2.009</td> <td> 0.045</td> <td>   -1.876</td> <td>   -0.023</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T40</th>                   <td>    0.4510</td> <td>    0.453</td> <td>    0.995</td> <td> 0.320</td> <td>   -0.437</td> <td>    1.339</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T41</th>                   <td>   -0.3702</td> <td>    0.384</td> <td>   -0.963</td> <td> 0.336</td> <td>   -1.124</td> <td>    0.383</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T42</th>                   <td>   -1.3440</td> <td>    0.433</td> <td>   -3.107</td> <td> 0.002</td> <td>   -2.192</td> <td>   -0.496</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T43</th>                   <td>   -0.4261</td> <td>    0.398</td> <td>   -1.071</td> <td> 0.284</td> <td>   -1.206</td> <td>    0.353</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T44</th>                   <td>   -0.4318</td> <td>    0.315</td> <td>   -1.369</td> <td> 0.171</td> <td>   -1.050</td> <td>    0.186</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T45</th>                   <td>    0.5449</td> <td>    0.391</td> <td>    1.394</td> <td> 0.163</td> <td>   -0.221</td> <td>    1.311</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T46</th>                   <td>   -0.8631</td> <td>    0.371</td> <td>   -2.325</td> <td> 0.020</td> <td>   -1.591</td> <td>   -0.136</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T47</th>                   <td>   -0.9291</td> <td>    0.292</td> <td>   -3.180</td> <td> 0.001</td> <td>   -1.502</td> <td>   -0.356</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T48</th>                   <td>   -0.3604</td> <td>    0.352</td> <td>   -1.024</td> <td> 0.306</td> <td>   -1.050</td> <td>    0.329</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T49</th>                   <td>   -0.5943</td> <td>    0.310</td> <td>   -1.917</td> <td> 0.055</td> <td>   -1.202</td> <td>    0.013</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>89.299</td> <th>  Durbin-Watson:     </th> <td>   1.902</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.000</td> <th>  Jarque-Bera (JB):  </th> <td> 112.818</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td>-0.114</td> <th>  Prob(JB):          </th> <td>3.18e-25</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 3.382</td> <th>  Cond. No.          </th> <td>3.51e+04</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.<br/>[2] The condition number is large, 3.51e+04. This might indicate that there are<br/>strong multicollinearity or other numerical problems."
      ],
      "text/latex": [
       "\\begin{center}\n",
       "\\begin{tabular}{lclc}\n",
       "\\toprule\n",
       "\\textbf{Dep. Variable:}          & Citations\\_Received & \\textbf{  R-squared:         } &     0.427   \\\\\n",
       "\\textbf{Model:}                  &         OLS         & \\textbf{  Adj. R-squared:    } &     0.424   \\\\\n",
       "\\textbf{Method:}                 &    Least Squares    & \\textbf{  F-statistic:       } &     145.1   \\\\\n",
       "\\textbf{Date:}                   &   Sat, 28 Sep 2024  & \\textbf{  Prob (F-statistic):} &     0.00    \\\\\n",
       "\\textbf{Time:}                   &       22:25:16      & \\textbf{  Log-Likelihood:    } &   -7710.4   \\\\\n",
       "\\textbf{No. Observations:}       &         13703       & \\textbf{  AIC:               } & 1.556e+04   \\\\\n",
       "\\textbf{Df Residuals:}           &         13632       & \\textbf{  BIC:               } & 1.610e+04   \\\\\n",
       "\\textbf{Df Model:}               &            70       & \\textbf{                     } &             \\\\\n",
       "\\textbf{Covariance Type:}        &      nonrobust      & \\textbf{                     } &             \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lcccccc}\n",
       "                                 & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]}  \\\\\n",
       "\\midrule\n",
       "\\textbf{Const}                   &       1.1255  &        0.255     &     4.412  &         0.000        &        0.625    &        1.625     \\\\\n",
       "\\textbf{FA\\_Female}              &       0.0402  &        0.008     &     4.763  &         0.000        &        0.024    &        0.057     \\\\\n",
       "\\textbf{FA\\_European}            &      -0.0119  &        0.009     &    -1.267  &         0.205        &       -0.030    &        0.007     \\\\\n",
       "\\textbf{FA\\_Asian}               &      -0.0543  &        0.017     &    -3.254  &         0.001        &       -0.087    &       -0.022     \\\\\n",
       "\\textbf{FA\\_Slavic}              &      -0.0521  &        0.018     &    -2.834  &         0.005        &       -0.088    &       -0.016     \\\\\n",
       "\\textbf{FA\\_Hispanic/Latino}     &      -0.0405  &        0.018     &    -2.208  &         0.027        &       -0.076    &       -0.005     \\\\\n",
       "\\textbf{FA\\_African}             &      -0.0919  &        0.020     &    -4.701  &         0.000        &       -0.130    &       -0.054     \\\\\n",
       "\\textbf{FA\\_Jewish}              &      -0.0753  &        0.022     &    -3.394  &         0.001        &       -0.119    &       -0.032     \\\\\n",
       "\\textbf{FA\\_Other}               &      -0.0286  &        0.021     &    -1.375  &         0.169        &       -0.069    &        0.012     \\\\\n",
       "\\textbf{FA\\_South}               &       0.1380  &        0.130     &     1.065  &         0.287        &       -0.116    &        0.392     \\\\\n",
       "\\textbf{Mixed\\_Gender}           &      -0.0056  &        0.012     &    -0.467  &         0.641        &       -0.029    &        0.018     \\\\\n",
       "\\textbf{Cross\\_Ethnic}           &       0.0290  &        0.011     &     2.544  &         0.011        &        0.007    &        0.051     \\\\\n",
       "\\textbf{Cross\\_Regional}         &      -0.0608  &        0.031     &    -1.942  &         0.052        &       -0.122    &        0.001     \\\\\n",
       "\\textbf{International}           &       0.0517  &        0.014     &     3.799  &         0.000        &        0.025    &        0.078     \\\\\n",
       "\\textbf{Cited\\_Outgroup}         &       0.0499  &        0.025     &     2.011  &         0.044        &        0.001    &        0.098     \\\\\n",
       "\\textbf{Team\\_Size}              &       0.0541  &        0.007     &     7.571  &         0.000        &        0.040    &        0.068     \\\\\n",
       "\\textbf{Cited\\_References}       &       0.0034  &        0.000     &    24.711  &         0.000        &        0.003    &        0.004     \\\\\n",
       "\\textbf{Article\\_Age}            &       0.0368  &        0.001     &    32.260  &         0.000        &        0.035    &        0.039     \\\\\n",
       "\\textbf{Journal\\_Prestige}       &       0.0099  &        0.000     &    49.491  &         0.000        &        0.010    &        0.010     \\\\\n",
       "\\textbf{FA\\_Author\\_Publication} &       0.0107  &        0.001     &     7.325  &         0.000        &        0.008    &        0.014     \\\\\n",
       "\\textbf{FA\\_Author\\_Reputation}  &       0.0012  &     7.85e-05     &    15.828  &         0.000        &        0.001    &        0.001     \\\\\n",
       "\\textbf{FA\\_Affliation\\_Weight}  &       4.8502  &        1.643     &     2.952  &         0.003        &        1.629    &        8.071     \\\\\n",
       "\\textbf{T1}                      &      -1.4870  &        0.417     &    -3.568  &         0.000        &       -2.304    &       -0.670     \\\\\n",
       "\\textbf{T2}                      &      -2.1368  &        0.424     &    -5.036  &         0.000        &       -2.969    &       -1.305     \\\\\n",
       "\\textbf{T3}                      &      -1.6738  &        0.471     &    -3.554  &         0.000        &       -2.597    &       -0.751     \\\\\n",
       "\\textbf{T4}                      &      -1.4366  &        0.398     &    -3.606  &         0.000        &       -2.217    &       -0.656     \\\\\n",
       "\\textbf{T5}                      &      -1.7022  &        0.452     &    -3.768  &         0.000        &       -2.588    &       -0.817     \\\\\n",
       "\\textbf{T6}                      &      -0.9723  &        0.467     &    -2.084  &         0.037        &       -1.887    &       -0.058     \\\\\n",
       "\\textbf{T7}                      &      -2.1673  &        0.437     &    -4.959  &         0.000        &       -3.024    &       -1.311     \\\\\n",
       "\\textbf{T8}                      &      -1.5333  &        0.372     &    -4.124  &         0.000        &       -2.262    &       -0.805     \\\\\n",
       "\\textbf{T9}                      &      -1.6317  &        0.423     &    -3.861  &         0.000        &       -2.460    &       -0.803     \\\\\n",
       "\\textbf{T10}                     &      -2.5235  &        0.430     &    -5.862  &         0.000        &       -3.367    &       -1.680     \\\\\n",
       "\\textbf{T11}                     &      -2.0890  &        0.428     &    -4.882  &         0.000        &       -2.928    &       -1.250     \\\\\n",
       "\\textbf{T12}                     &      -1.1937  &        0.458     &    -2.607  &         0.009        &       -2.091    &       -0.296     \\\\\n",
       "\\textbf{T13}                     &      -1.1176  &        0.395     &    -2.827  &         0.005        &       -1.892    &       -0.343     \\\\\n",
       "\\textbf{T14}                     &      -1.7453  &        0.433     &    -4.029  &         0.000        &       -2.595    &       -0.896     \\\\\n",
       "\\textbf{T15}                     &      -0.4956  &        0.421     &    -1.178  &         0.239        &       -1.320    &        0.329     \\\\\n",
       "\\textbf{T16}                     &      -1.7522  &        0.381     &    -4.595  &         0.000        &       -2.500    &       -1.005     \\\\\n",
       "\\textbf{T17}                     &      -0.3902  &        0.419     &    -0.932  &         0.351        &       -1.211    &        0.430     \\\\\n",
       "\\textbf{T18}                     &      -0.2838  &        0.410     &    -0.691  &         0.489        &       -1.088    &        0.521     \\\\\n",
       "\\textbf{T19}                     &      -0.5391  &        0.443     &    -1.218  &         0.223        &       -1.407    &        0.329     \\\\\n",
       "\\textbf{T20}                     &      -1.6759  &        0.467     &    -3.591  &         0.000        &       -2.591    &       -0.761     \\\\\n",
       "\\textbf{T21}                     &      -1.4883  &        0.396     &    -3.763  &         0.000        &       -2.264    &       -0.713     \\\\\n",
       "\\textbf{T22}                     &      -1.9043  &        0.439     &    -4.334  &         0.000        &       -2.766    &       -1.043     \\\\\n",
       "\\textbf{T23}                     &      -0.2190  &        0.394     &    -0.555  &         0.579        &       -0.992    &        0.554     \\\\\n",
       "\\textbf{T24}                     &      -1.3136  &        0.408     &    -3.217  &         0.001        &       -2.114    &       -0.513     \\\\\n",
       "\\textbf{T25}                     &      -1.4491  &        0.443     &    -3.273  &         0.001        &       -2.317    &       -0.581     \\\\\n",
       "\\textbf{T26}                     &      -1.1456  &        0.328     &    -3.492  &         0.000        &       -1.789    &       -0.503     \\\\\n",
       "\\textbf{T27}                     &      -1.2378  &        0.452     &    -2.741  &         0.006        &       -2.123    &       -0.353     \\\\\n",
       "\\textbf{T28}                     &      -0.6720  &        0.418     &    -1.606  &         0.108        &       -1.492    &        0.148     \\\\\n",
       "\\textbf{T29}                     &      -0.5574  &        0.444     &    -1.255  &         0.209        &       -1.428    &        0.313     \\\\\n",
       "\\textbf{T30}                     &      -2.1802  &        0.452     &    -4.822  &         0.000        &       -3.067    &       -1.294     \\\\\n",
       "\\textbf{T31}                     &      -2.0503  &        0.405     &    -5.058  &         0.000        &       -2.845    &       -1.256     \\\\\n",
       "\\textbf{T32}                     &      -0.6501  &        0.416     &    -1.564  &         0.118        &       -1.465    &        0.165     \\\\\n",
       "\\textbf{T33}                     &      -0.5758  &        0.455     &    -1.265  &         0.206        &       -1.468    &        0.316     \\\\\n",
       "\\textbf{T34}                     &      -0.8434  &        0.396     &    -2.129  &         0.033        &       -1.620    &       -0.067     \\\\\n",
       "\\textbf{T35}                     &      -0.4922  &        0.378     &    -1.301  &         0.193        &       -1.234    &        0.249     \\\\\n",
       "\\textbf{T36}                     &      -1.3288  &        0.400     &    -3.323  &         0.001        &       -2.113    &       -0.545     \\\\\n",
       "\\textbf{T37}                     &      -0.3894  &        0.392     &    -0.993  &         0.321        &       -1.158    &        0.379     \\\\\n",
       "\\textbf{T38}                     &      -0.3511  &        0.372     &    -0.944  &         0.345        &       -1.080    &        0.378     \\\\\n",
       "\\textbf{T39}                     &      -0.9495  &        0.473     &    -2.009  &         0.045        &       -1.876    &       -0.023     \\\\\n",
       "\\textbf{T40}                     &       0.4510  &        0.453     &     0.995  &         0.320        &       -0.437    &        1.339     \\\\\n",
       "\\textbf{T41}                     &      -0.3702  &        0.384     &    -0.963  &         0.336        &       -1.124    &        0.383     \\\\\n",
       "\\textbf{T42}                     &      -1.3440  &        0.433     &    -3.107  &         0.002        &       -2.192    &       -0.496     \\\\\n",
       "\\textbf{T43}                     &      -0.4261  &        0.398     &    -1.071  &         0.284        &       -1.206    &        0.353     \\\\\n",
       "\\textbf{T44}                     &      -0.4318  &        0.315     &    -1.369  &         0.171        &       -1.050    &        0.186     \\\\\n",
       "\\textbf{T45}                     &       0.5449  &        0.391     &     1.394  &         0.163        &       -0.221    &        1.311     \\\\\n",
       "\\textbf{T46}                     &      -0.8631  &        0.371     &    -2.325  &         0.020        &       -1.591    &       -0.136     \\\\\n",
       "\\textbf{T47}                     &      -0.9291  &        0.292     &    -3.180  &         0.001        &       -1.502    &       -0.356     \\\\\n",
       "\\textbf{T48}                     &      -0.3604  &        0.352     &    -1.024  &         0.306        &       -1.050    &        0.329     \\\\\n",
       "\\textbf{T49}                     &      -0.5943  &        0.310     &    -1.917  &         0.055        &       -1.202    &        0.013     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lclc}\n",
       "\\textbf{Omnibus:}       & 89.299 & \\textbf{  Durbin-Watson:     } &    1.902  \\\\\n",
       "\\textbf{Prob(Omnibus):} &  0.000 & \\textbf{  Jarque-Bera (JB):  } &  112.818  \\\\\n",
       "\\textbf{Skew:}          & -0.114 & \\textbf{  Prob(JB):          } & 3.18e-25  \\\\\n",
       "\\textbf{Kurtosis:}      &  3.382 & \\textbf{  Cond. No.          } & 3.51e+04  \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "%\\caption{OLS Regression Results}\n",
       "\\end{center}\n",
       "\n",
       "Notes: \\newline\n",
       " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
       " [2] The condition number is large, 3.51e+04. This might indicate that there are \\newline\n",
       " strong multicollinearity or other numerical problems."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:     Citations_Received   R-squared:                       0.427\n",
       "Model:                            OLS   Adj. R-squared:                  0.424\n",
       "Method:                 Least Squares   F-statistic:                     145.1\n",
       "Date:                Sat, 28 Sep 2024   Prob (F-statistic):               0.00\n",
       "Time:                        22:25:16   Log-Likelihood:                -7710.4\n",
       "No. Observations:               13703   AIC:                         1.556e+04\n",
       "Df Residuals:                   13632   BIC:                         1.610e+04\n",
       "Df Model:                          70                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "=========================================================================================\n",
       "                            coef    std err          t      P>|t|      [0.025      0.975]\n",
       "-----------------------------------------------------------------------------------------\n",
       "Const                     1.1255      0.255      4.412      0.000       0.625       1.625\n",
       "FA_Female                 0.0402      0.008      4.763      0.000       0.024       0.057\n",
       "FA_European              -0.0119      0.009     -1.267      0.205      -0.030       0.007\n",
       "FA_Asian                 -0.0543      0.017     -3.254      0.001      -0.087      -0.022\n",
       "FA_Slavic                -0.0521      0.018     -2.834      0.005      -0.088      -0.016\n",
       "FA_Hispanic/Latino       -0.0405      0.018     -2.208      0.027      -0.076      -0.005\n",
       "FA_African               -0.0919      0.020     -4.701      0.000      -0.130      -0.054\n",
       "FA_Jewish                -0.0753      0.022     -3.394      0.001      -0.119      -0.032\n",
       "FA_Other                 -0.0286      0.021     -1.375      0.169      -0.069       0.012\n",
       "FA_South                  0.1380      0.130      1.065      0.287      -0.116       0.392\n",
       "Mixed_Gender             -0.0056      0.012     -0.467      0.641      -0.029       0.018\n",
       "Cross_Ethnic              0.0290      0.011      2.544      0.011       0.007       0.051\n",
       "Cross_Regional           -0.0608      0.031     -1.942      0.052      -0.122       0.001\n",
       "International             0.0517      0.014      3.799      0.000       0.025       0.078\n",
       "Cited_Outgroup            0.0499      0.025      2.011      0.044       0.001       0.098\n",
       "Team_Size                 0.0541      0.007      7.571      0.000       0.040       0.068\n",
       "Cited_References          0.0034      0.000     24.711      0.000       0.003       0.004\n",
       "Article_Age               0.0368      0.001     32.260      0.000       0.035       0.039\n",
       "Journal_Prestige          0.0099      0.000     49.491      0.000       0.010       0.010\n",
       "FA_Author_Publication     0.0107      0.001      7.325      0.000       0.008       0.014\n",
       "FA_Author_Reputation      0.0012   7.85e-05     15.828      0.000       0.001       0.001\n",
       "FA_Affliation_Weight      4.8502      1.643      2.952      0.003       1.629       8.071\n",
       "T1                       -1.4870      0.417     -3.568      0.000      -2.304      -0.670\n",
       "T2                       -2.1368      0.424     -5.036      0.000      -2.969      -1.305\n",
       "T3                       -1.6738      0.471     -3.554      0.000      -2.597      -0.751\n",
       "T4                       -1.4366      0.398     -3.606      0.000      -2.217      -0.656\n",
       "T5                       -1.7022      0.452     -3.768      0.000      -2.588      -0.817\n",
       "T6                       -0.9723      0.467     -2.084      0.037      -1.887      -0.058\n",
       "T7                       -2.1673      0.437     -4.959      0.000      -3.024      -1.311\n",
       "T8                       -1.5333      0.372     -4.124      0.000      -2.262      -0.805\n",
       "T9                       -1.6317      0.423     -3.861      0.000      -2.460      -0.803\n",
       "T10                      -2.5235      0.430     -5.862      0.000      -3.367      -1.680\n",
       "T11                      -2.0890      0.428     -4.882      0.000      -2.928      -1.250\n",
       "T12                      -1.1937      0.458     -2.607      0.009      -2.091      -0.296\n",
       "T13                      -1.1176      0.395     -2.827      0.005      -1.892      -0.343\n",
       "T14                      -1.7453      0.433     -4.029      0.000      -2.595      -0.896\n",
       "T15                      -0.4956      0.421     -1.178      0.239      -1.320       0.329\n",
       "T16                      -1.7522      0.381     -4.595      0.000      -2.500      -1.005\n",
       "T17                      -0.3902      0.419     -0.932      0.351      -1.211       0.430\n",
       "T18                      -0.2838      0.410     -0.691      0.489      -1.088       0.521\n",
       "T19                      -0.5391      0.443     -1.218      0.223      -1.407       0.329\n",
       "T20                      -1.6759      0.467     -3.591      0.000      -2.591      -0.761\n",
       "T21                      -1.4883      0.396     -3.763      0.000      -2.264      -0.713\n",
       "T22                      -1.9043      0.439     -4.334      0.000      -2.766      -1.043\n",
       "T23                      -0.2190      0.394     -0.555      0.579      -0.992       0.554\n",
       "T24                      -1.3136      0.408     -3.217      0.001      -2.114      -0.513\n",
       "T25                      -1.4491      0.443     -3.273      0.001      -2.317      -0.581\n",
       "T26                      -1.1456      0.328     -3.492      0.000      -1.789      -0.503\n",
       "T27                      -1.2378      0.452     -2.741      0.006      -2.123      -0.353\n",
       "T28                      -0.6720      0.418     -1.606      0.108      -1.492       0.148\n",
       "T29                      -0.5574      0.444     -1.255      0.209      -1.428       0.313\n",
       "T30                      -2.1802      0.452     -4.822      0.000      -3.067      -1.294\n",
       "T31                      -2.0503      0.405     -5.058      0.000      -2.845      -1.256\n",
       "T32                      -0.6501      0.416     -1.564      0.118      -1.465       0.165\n",
       "T33                      -0.5758      0.455     -1.265      0.206      -1.468       0.316\n",
       "T34                      -0.8434      0.396     -2.129      0.033      -1.620      -0.067\n",
       "T35                      -0.4922      0.378     -1.301      0.193      -1.234       0.249\n",
       "T36                      -1.3288      0.400     -3.323      0.001      -2.113      -0.545\n",
       "T37                      -0.3894      0.392     -0.993      0.321      -1.158       0.379\n",
       "T38                      -0.3511      0.372     -0.944      0.345      -1.080       0.378\n",
       "T39                      -0.9495      0.473     -2.009      0.045      -1.876      -0.023\n",
       "T40                       0.4510      0.453      0.995      0.320      -0.437       1.339\n",
       "T41                      -0.3702      0.384     -0.963      0.336      -1.124       0.383\n",
       "T42                      -1.3440      0.433     -3.107      0.002      -2.192      -0.496\n",
       "T43                      -0.4261      0.398     -1.071      0.284      -1.206       0.353\n",
       "T44                      -0.4318      0.315     -1.369      0.171      -1.050       0.186\n",
       "T45                       0.5449      0.391      1.394      0.163      -0.221       1.311\n",
       "T46                      -0.8631      0.371     -2.325      0.020      -1.591      -0.136\n",
       "T47                      -0.9291      0.292     -3.180      0.001      -1.502      -0.356\n",
       "T48                      -0.3604      0.352     -1.024      0.306      -1.050       0.329\n",
       "T49                      -0.5943      0.310     -1.917      0.055      -1.202       0.013\n",
       "==============================================================================\n",
       "Omnibus:                       89.299   Durbin-Watson:                   1.902\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              112.818\n",
       "Skew:                          -0.114   Prob(JB):                     3.18e-25\n",
       "Kurtosis:                       3.382   Cond. No.                     3.51e+04\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "[2] The condition number is large, 3.51e+04. This might indicate that there are\n",
       "strong multicollinearity or other numerical problems.\n",
       "\"\"\""
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Supplemental Table S7. Heterogenous Effects\n",
    "#Model S3: FA-based Top 40 Institution Model\n",
    "model_S3 = sm.OLS(np.log10(regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top40_Inst'])]['Citations_Received']+1),\n",
    "               regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top40_Inst'])][['Const','FA_Female','FA_European', 'FA_Asian', 'FA_Slavic', 'FA_Hispanic/Latino', 'FA_African', 'FA_Jewish','FA_Other','FA_South',\n",
    "                                                                                                                        'Mixed_Gender','Cross_Ethnic','Cross_Regional','International','Cited_Outgroup',\n",
    "                                                                                                                        'Team_Size', 'Cited_References','Article_Age','Journal_Prestige','FA_Author_Publication','FA_Author_Reputation','FA_Affliation_Weight']+['T'+str(i) for i in range(1,50)]],missing='drop')\n",
    "results_S3 = model_S3.fit(maxiter=100)\n",
    "results_S3.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "b97b4897-b34e-4ff7-bd64-82e1760b59a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>    <td>Citations_Received</td> <th>  R-squared:         </th> <td>   0.421</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                    <td>OLS</td>        <th>  Adj. R-squared:    </th> <td>   0.419</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>              <td>Least Squares</td>   <th>  F-statistic:       </th> <td>   265.9</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>              <td>Sat, 28 Sep 2024</td>  <th>  Prob (F-statistic):</th>  <td>  0.00</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                  <td>22:25:21</td>      <th>  Log-Likelihood:    </th> <td> -14269.</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>       <td> 25678</td>       <th>  AIC:               </th> <td>2.868e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>           <td> 25607</td>       <th>  BIC:               </th> <td>2.926e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>               <td>    70</td>       <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>       <td>nonrobust</td>     <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "            <td></td>               <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Const</th>                 <td>    0.8405</td> <td>    0.189</td> <td>    4.455</td> <td> 0.000</td> <td>    0.471</td> <td>    1.210</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Female</th>             <td>    0.0439</td> <td>    0.006</td> <td>    7.269</td> <td> 0.000</td> <td>    0.032</td> <td>    0.056</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_European</th>           <td>   -0.0127</td> <td>    0.007</td> <td>   -1.893</td> <td> 0.058</td> <td>   -0.026</td> <td>    0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Asian</th>              <td>   -0.0694</td> <td>    0.013</td> <td>   -5.526</td> <td> 0.000</td> <td>   -0.094</td> <td>   -0.045</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Slavic</th>             <td>   -0.0531</td> <td>    0.013</td> <td>   -4.000</td> <td> 0.000</td> <td>   -0.079</td> <td>   -0.027</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Hispanic/Latino</th>    <td>   -0.0328</td> <td>    0.013</td> <td>   -2.483</td> <td> 0.013</td> <td>   -0.059</td> <td>   -0.007</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_African</th>            <td>   -0.0718</td> <td>    0.015</td> <td>   -4.872</td> <td> 0.000</td> <td>   -0.101</td> <td>   -0.043</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Jewish</th>             <td>   -0.0738</td> <td>    0.016</td> <td>   -4.577</td> <td> 0.000</td> <td>   -0.105</td> <td>   -0.042</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Other</th>              <td>   -0.0370</td> <td>    0.016</td> <td>   -2.383</td> <td> 0.017</td> <td>   -0.067</td> <td>   -0.007</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_South</th>              <td>   -0.0019</td> <td>    0.087</td> <td>   -0.022</td> <td> 0.982</td> <td>   -0.172</td> <td>    0.168</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Mixed_Gender</th>          <td>   -0.0032</td> <td>    0.009</td> <td>   -0.371</td> <td> 0.710</td> <td>   -0.020</td> <td>    0.014</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Ethnic</th>          <td>    0.0244</td> <td>    0.008</td> <td>    2.943</td> <td> 0.003</td> <td>    0.008</td> <td>    0.041</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cross_Regional</th>        <td>   -0.0768</td> <td>    0.022</td> <td>   -3.511</td> <td> 0.000</td> <td>   -0.120</td> <td>   -0.034</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>International</th>         <td>    0.0554</td> <td>    0.010</td> <td>    5.825</td> <td> 0.000</td> <td>    0.037</td> <td>    0.074</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_Outgroup</th>        <td>    0.0493</td> <td>    0.018</td> <td>    2.777</td> <td> 0.005</td> <td>    0.014</td> <td>    0.084</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Team_Size</th>             <td>    0.0574</td> <td>    0.005</td> <td>   11.005</td> <td> 0.000</td> <td>    0.047</td> <td>    0.068</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Cited_References</th>      <td>    0.0031</td> <td>    0.000</td> <td>   31.084</td> <td> 0.000</td> <td>    0.003</td> <td>    0.003</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Article_Age</th>           <td>    0.0341</td> <td>    0.001</td> <td>   41.836</td> <td> 0.000</td> <td>    0.032</td> <td>    0.036</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Journal_Prestige</th>      <td>    0.0105</td> <td>    0.000</td> <td>   67.952</td> <td> 0.000</td> <td>    0.010</td> <td>    0.011</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Publication</th> <td>    0.0076</td> <td>    0.001</td> <td>    7.522</td> <td> 0.000</td> <td>    0.006</td> <td>    0.010</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Author_Reputation</th>  <td>    0.0016</td> <td> 6.49e-05</td> <td>   24.180</td> <td> 0.000</td> <td>    0.001</td> <td>    0.002</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>FA_Affliation_Weight</th>  <td>    6.2413</td> <td>    1.188</td> <td>    5.255</td> <td> 0.000</td> <td>    3.913</td> <td>    8.569</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T1</th>                    <td>   -1.5574</td> <td>    0.303</td> <td>   -5.138</td> <td> 0.000</td> <td>   -2.152</td> <td>   -0.963</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T2</th>                    <td>   -1.7012</td> <td>    0.310</td> <td>   -5.486</td> <td> 0.000</td> <td>   -2.309</td> <td>   -1.093</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T3</th>                    <td>   -1.6125</td> <td>    0.351</td> <td>   -4.592</td> <td> 0.000</td> <td>   -2.301</td> <td>   -0.924</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T4</th>                    <td>   -0.9779</td> <td>    0.288</td> <td>   -3.396</td> <td> 0.001</td> <td>   -1.542</td> <td>   -0.413</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T5</th>                    <td>   -1.4247</td> <td>    0.326</td> <td>   -4.370</td> <td> 0.000</td> <td>   -2.064</td> <td>   -0.786</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T6</th>                    <td>   -0.7526</td> <td>    0.336</td> <td>   -2.240</td> <td> 0.025</td> <td>   -1.411</td> <td>   -0.094</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T7</th>                    <td>   -1.4261</td> <td>    0.320</td> <td>   -4.457</td> <td> 0.000</td> <td>   -2.053</td> <td>   -0.799</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T8</th>                    <td>   -1.3030</td> <td>    0.272</td> <td>   -4.792</td> <td> 0.000</td> <td>   -1.836</td> <td>   -0.770</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T9</th>                    <td>   -1.0975</td> <td>    0.306</td> <td>   -3.588</td> <td> 0.000</td> <td>   -1.697</td> <td>   -0.498</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T10</th>                   <td>   -1.9029</td> <td>    0.313</td> <td>   -6.072</td> <td> 0.000</td> <td>   -2.517</td> <td>   -1.289</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T11</th>                   <td>   -1.5043</td> <td>    0.313</td> <td>   -4.800</td> <td> 0.000</td> <td>   -2.119</td> <td>   -0.890</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T12</th>                   <td>   -1.2911</td> <td>    0.335</td> <td>   -3.859</td> <td> 0.000</td> <td>   -1.947</td> <td>   -0.635</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T13</th>                   <td>   -0.8754</td> <td>    0.284</td> <td>   -3.082</td> <td> 0.002</td> <td>   -1.432</td> <td>   -0.319</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T14</th>                   <td>   -1.5506</td> <td>    0.315</td> <td>   -4.926</td> <td> 0.000</td> <td>   -2.168</td> <td>   -0.934</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T15</th>                   <td>   -0.0629</td> <td>    0.303</td> <td>   -0.207</td> <td> 0.836</td> <td>   -0.657</td> <td>    0.531</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T16</th>                   <td>   -1.3219</td> <td>    0.277</td> <td>   -4.769</td> <td> 0.000</td> <td>   -1.865</td> <td>   -0.779</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T17</th>                   <td>   -0.3888</td> <td>    0.305</td> <td>   -1.274</td> <td> 0.203</td> <td>   -0.987</td> <td>    0.209</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T18</th>                   <td>   -0.2845</td> <td>    0.294</td> <td>   -0.966</td> <td> 0.334</td> <td>   -0.862</td> <td>    0.293</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T19</th>                   <td>   -0.3741</td> <td>    0.311</td> <td>   -1.205</td> <td> 0.228</td> <td>   -0.983</td> <td>    0.235</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T20</th>                   <td>   -1.4585</td> <td>    0.344</td> <td>   -4.234</td> <td> 0.000</td> <td>   -2.134</td> <td>   -0.783</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T21</th>                   <td>   -0.9582</td> <td>    0.290</td> <td>   -3.309</td> <td> 0.001</td> <td>   -1.526</td> <td>   -0.391</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T22</th>                   <td>   -1.6750</td> <td>    0.317</td> <td>   -5.287</td> <td> 0.000</td> <td>   -2.296</td> <td>   -1.054</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T23</th>                   <td>   -0.2005</td> <td>    0.287</td> <td>   -0.699</td> <td> 0.484</td> <td>   -0.762</td> <td>    0.361</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T24</th>                   <td>   -0.9327</td> <td>    0.299</td> <td>   -3.119</td> <td> 0.002</td> <td>   -1.519</td> <td>   -0.347</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T25</th>                   <td>   -0.9673</td> <td>    0.320</td> <td>   -3.019</td> <td> 0.003</td> <td>   -1.595</td> <td>   -0.339</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T26</th>                   <td>   -0.6840</td> <td>    0.238</td> <td>   -2.880</td> <td> 0.004</td> <td>   -1.150</td> <td>   -0.218</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T27</th>                   <td>   -0.8964</td> <td>    0.325</td> <td>   -2.758</td> <td> 0.006</td> <td>   -1.533</td> <td>   -0.259</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T28</th>                   <td>   -0.3820</td> <td>    0.306</td> <td>   -1.248</td> <td> 0.212</td> <td>   -0.982</td> <td>    0.218</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T29</th>                   <td>   -0.5713</td> <td>    0.327</td> <td>   -1.747</td> <td> 0.081</td> <td>   -1.212</td> <td>    0.070</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T30</th>                   <td>   -1.2934</td> <td>    0.327</td> <td>   -3.959</td> <td> 0.000</td> <td>   -1.934</td> <td>   -0.653</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T31</th>                   <td>   -1.1990</td> <td>    0.297</td> <td>   -4.043</td> <td> 0.000</td> <td>   -1.780</td> <td>   -0.618</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T32</th>                   <td>   -0.2322</td> <td>    0.306</td> <td>   -0.760</td> <td> 0.447</td> <td>   -0.831</td> <td>    0.367</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T33</th>                   <td>   -0.4961</td> <td>    0.329</td> <td>   -1.508</td> <td> 0.132</td> <td>   -1.141</td> <td>    0.149</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T34</th>                   <td>   -0.7513</td> <td>    0.290</td> <td>   -2.588</td> <td> 0.010</td> <td>   -1.320</td> <td>   -0.182</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T35</th>                   <td>   -0.2286</td> <td>    0.275</td> <td>   -0.832</td> <td> 0.405</td> <td>   -0.767</td> <td>    0.310</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T36</th>                   <td>   -1.2114</td> <td>    0.290</td> <td>   -4.174</td> <td> 0.000</td> <td>   -1.780</td> <td>   -0.642</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T37</th>                   <td>   -0.2154</td> <td>    0.290</td> <td>   -0.742</td> <td> 0.458</td> <td>   -0.784</td> <td>    0.353</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T38</th>                   <td>    0.3188</td> <td>    0.270</td> <td>    1.181</td> <td> 0.238</td> <td>   -0.210</td> <td>    0.848</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T39</th>                   <td>   -0.5799</td> <td>    0.345</td> <td>   -1.680</td> <td> 0.093</td> <td>   -1.256</td> <td>    0.097</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T40</th>                   <td>   -0.0214</td> <td>    0.335</td> <td>   -0.064</td> <td> 0.949</td> <td>   -0.679</td> <td>    0.636</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T41</th>                   <td>   -0.2373</td> <td>    0.282</td> <td>   -0.843</td> <td> 0.399</td> <td>   -0.789</td> <td>    0.315</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T42</th>                   <td>   -1.0760</td> <td>    0.317</td> <td>   -3.389</td> <td> 0.001</td> <td>   -1.698</td> <td>   -0.454</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T43</th>                   <td>    0.0257</td> <td>    0.291</td> <td>    0.089</td> <td> 0.929</td> <td>   -0.544</td> <td>    0.596</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T44</th>                   <td>   -0.1298</td> <td>    0.230</td> <td>   -0.564</td> <td> 0.573</td> <td>   -0.581</td> <td>    0.321</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T45</th>                   <td>    0.5406</td> <td>    0.283</td> <td>    1.912</td> <td> 0.056</td> <td>   -0.014</td> <td>    1.095</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T46</th>                   <td>   -0.5734</td> <td>    0.273</td> <td>   -2.101</td> <td> 0.036</td> <td>   -1.108</td> <td>   -0.038</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T47</th>                   <td>   -0.7182</td> <td>    0.215</td> <td>   -3.347</td> <td> 0.001</td> <td>   -1.139</td> <td>   -0.298</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T48</th>                   <td>   -0.0073</td> <td>    0.253</td> <td>   -0.029</td> <td> 0.977</td> <td>   -0.504</td> <td>    0.489</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>T49</th>                   <td>   -0.2418</td> <td>    0.228</td> <td>   -1.058</td> <td> 0.290</td> <td>   -0.690</td> <td>    0.206</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>191.781</td> <th>  Durbin-Watson:     </th> <td>   1.898</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.000</td>  <th>  Jarque-Bera (JB):  </th> <td> 239.515</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td>-0.134</td>  <th>  Prob(JB):          </th> <td>9.77e-53</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 3.390</td>  <th>  Cond. No.          </th> <td>3.50e+04</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.<br/>[2] The condition number is large, 3.5e+04. This might indicate that there are<br/>strong multicollinearity or other numerical problems."
      ],
      "text/latex": [
       "\\begin{center}\n",
       "\\begin{tabular}{lclc}\n",
       "\\toprule\n",
       "\\textbf{Dep. Variable:}          & Citations\\_Received & \\textbf{  R-squared:         } &     0.421   \\\\\n",
       "\\textbf{Model:}                  &         OLS         & \\textbf{  Adj. R-squared:    } &     0.419   \\\\\n",
       "\\textbf{Method:}                 &    Least Squares    & \\textbf{  F-statistic:       } &     265.9   \\\\\n",
       "\\textbf{Date:}                   &   Sat, 28 Sep 2024  & \\textbf{  Prob (F-statistic):} &     0.00    \\\\\n",
       "\\textbf{Time:}                   &       22:25:21      & \\textbf{  Log-Likelihood:    } &   -14269.   \\\\\n",
       "\\textbf{No. Observations:}       &         25678       & \\textbf{  AIC:               } & 2.868e+04   \\\\\n",
       "\\textbf{Df Residuals:}           &         25607       & \\textbf{  BIC:               } & 2.926e+04   \\\\\n",
       "\\textbf{Df Model:}               &            70       & \\textbf{                     } &             \\\\\n",
       "\\textbf{Covariance Type:}        &      nonrobust      & \\textbf{                     } &             \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lcccccc}\n",
       "                                 & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]}  \\\\\n",
       "\\midrule\n",
       "\\textbf{Const}                   &       0.8405  &        0.189     &     4.455  &         0.000        &        0.471    &        1.210     \\\\\n",
       "\\textbf{FA\\_Female}              &       0.0439  &        0.006     &     7.269  &         0.000        &        0.032    &        0.056     \\\\\n",
       "\\textbf{FA\\_European}            &      -0.0127  &        0.007     &    -1.893  &         0.058        &       -0.026    &        0.000     \\\\\n",
       "\\textbf{FA\\_Asian}               &      -0.0694  &        0.013     &    -5.526  &         0.000        &       -0.094    &       -0.045     \\\\\n",
       "\\textbf{FA\\_Slavic}              &      -0.0531  &        0.013     &    -4.000  &         0.000        &       -0.079    &       -0.027     \\\\\n",
       "\\textbf{FA\\_Hispanic/Latino}     &      -0.0328  &        0.013     &    -2.483  &         0.013        &       -0.059    &       -0.007     \\\\\n",
       "\\textbf{FA\\_African}             &      -0.0718  &        0.015     &    -4.872  &         0.000        &       -0.101    &       -0.043     \\\\\n",
       "\\textbf{FA\\_Jewish}              &      -0.0738  &        0.016     &    -4.577  &         0.000        &       -0.105    &       -0.042     \\\\\n",
       "\\textbf{FA\\_Other}               &      -0.0370  &        0.016     &    -2.383  &         0.017        &       -0.067    &       -0.007     \\\\\n",
       "\\textbf{FA\\_South}               &      -0.0019  &        0.087     &    -0.022  &         0.982        &       -0.172    &        0.168     \\\\\n",
       "\\textbf{Mixed\\_Gender}           &      -0.0032  &        0.009     &    -0.371  &         0.710        &       -0.020    &        0.014     \\\\\n",
       "\\textbf{Cross\\_Ethnic}           &       0.0244  &        0.008     &     2.943  &         0.003        &        0.008    &        0.041     \\\\\n",
       "\\textbf{Cross\\_Regional}         &      -0.0768  &        0.022     &    -3.511  &         0.000        &       -0.120    &       -0.034     \\\\\n",
       "\\textbf{International}           &       0.0554  &        0.010     &     5.825  &         0.000        &        0.037    &        0.074     \\\\\n",
       "\\textbf{Cited\\_Outgroup}         &       0.0493  &        0.018     &     2.777  &         0.005        &        0.014    &        0.084     \\\\\n",
       "\\textbf{Team\\_Size}              &       0.0574  &        0.005     &    11.005  &         0.000        &        0.047    &        0.068     \\\\\n",
       "\\textbf{Cited\\_References}       &       0.0031  &        0.000     &    31.084  &         0.000        &        0.003    &        0.003     \\\\\n",
       "\\textbf{Article\\_Age}            &       0.0341  &        0.001     &    41.836  &         0.000        &        0.032    &        0.036     \\\\\n",
       "\\textbf{Journal\\_Prestige}       &       0.0105  &        0.000     &    67.952  &         0.000        &        0.010    &        0.011     \\\\\n",
       "\\textbf{FA\\_Author\\_Publication} &       0.0076  &        0.001     &     7.522  &         0.000        &        0.006    &        0.010     \\\\\n",
       "\\textbf{FA\\_Author\\_Reputation}  &       0.0016  &     6.49e-05     &    24.180  &         0.000        &        0.001    &        0.002     \\\\\n",
       "\\textbf{FA\\_Affliation\\_Weight}  &       6.2413  &        1.188     &     5.255  &         0.000        &        3.913    &        8.569     \\\\\n",
       "\\textbf{T1}                      &      -1.5574  &        0.303     &    -5.138  &         0.000        &       -2.152    &       -0.963     \\\\\n",
       "\\textbf{T2}                      &      -1.7012  &        0.310     &    -5.486  &         0.000        &       -2.309    &       -1.093     \\\\\n",
       "\\textbf{T3}                      &      -1.6125  &        0.351     &    -4.592  &         0.000        &       -2.301    &       -0.924     \\\\\n",
       "\\textbf{T4}                      &      -0.9779  &        0.288     &    -3.396  &         0.001        &       -1.542    &       -0.413     \\\\\n",
       "\\textbf{T5}                      &      -1.4247  &        0.326     &    -4.370  &         0.000        &       -2.064    &       -0.786     \\\\\n",
       "\\textbf{T6}                      &      -0.7526  &        0.336     &    -2.240  &         0.025        &       -1.411    &       -0.094     \\\\\n",
       "\\textbf{T7}                      &      -1.4261  &        0.320     &    -4.457  &         0.000        &       -2.053    &       -0.799     \\\\\n",
       "\\textbf{T8}                      &      -1.3030  &        0.272     &    -4.792  &         0.000        &       -1.836    &       -0.770     \\\\\n",
       "\\textbf{T9}                      &      -1.0975  &        0.306     &    -3.588  &         0.000        &       -1.697    &       -0.498     \\\\\n",
       "\\textbf{T10}                     &      -1.9029  &        0.313     &    -6.072  &         0.000        &       -2.517    &       -1.289     \\\\\n",
       "\\textbf{T11}                     &      -1.5043  &        0.313     &    -4.800  &         0.000        &       -2.119    &       -0.890     \\\\\n",
       "\\textbf{T12}                     &      -1.2911  &        0.335     &    -3.859  &         0.000        &       -1.947    &       -0.635     \\\\\n",
       "\\textbf{T13}                     &      -0.8754  &        0.284     &    -3.082  &         0.002        &       -1.432    &       -0.319     \\\\\n",
       "\\textbf{T14}                     &      -1.5506  &        0.315     &    -4.926  &         0.000        &       -2.168    &       -0.934     \\\\\n",
       "\\textbf{T15}                     &      -0.0629  &        0.303     &    -0.207  &         0.836        &       -0.657    &        0.531     \\\\\n",
       "\\textbf{T16}                     &      -1.3219  &        0.277     &    -4.769  &         0.000        &       -1.865    &       -0.779     \\\\\n",
       "\\textbf{T17}                     &      -0.3888  &        0.305     &    -1.274  &         0.203        &       -0.987    &        0.209     \\\\\n",
       "\\textbf{T18}                     &      -0.2845  &        0.294     &    -0.966  &         0.334        &       -0.862    &        0.293     \\\\\n",
       "\\textbf{T19}                     &      -0.3741  &        0.311     &    -1.205  &         0.228        &       -0.983    &        0.235     \\\\\n",
       "\\textbf{T20}                     &      -1.4585  &        0.344     &    -4.234  &         0.000        &       -2.134    &       -0.783     \\\\\n",
       "\\textbf{T21}                     &      -0.9582  &        0.290     &    -3.309  &         0.001        &       -1.526    &       -0.391     \\\\\n",
       "\\textbf{T22}                     &      -1.6750  &        0.317     &    -5.287  &         0.000        &       -2.296    &       -1.054     \\\\\n",
       "\\textbf{T23}                     &      -0.2005  &        0.287     &    -0.699  &         0.484        &       -0.762    &        0.361     \\\\\n",
       "\\textbf{T24}                     &      -0.9327  &        0.299     &    -3.119  &         0.002        &       -1.519    &       -0.347     \\\\\n",
       "\\textbf{T25}                     &      -0.9673  &        0.320     &    -3.019  &         0.003        &       -1.595    &       -0.339     \\\\\n",
       "\\textbf{T26}                     &      -0.6840  &        0.238     &    -2.880  &         0.004        &       -1.150    &       -0.218     \\\\\n",
       "\\textbf{T27}                     &      -0.8964  &        0.325     &    -2.758  &         0.006        &       -1.533    &       -0.259     \\\\\n",
       "\\textbf{T28}                     &      -0.3820  &        0.306     &    -1.248  &         0.212        &       -0.982    &        0.218     \\\\\n",
       "\\textbf{T29}                     &      -0.5713  &        0.327     &    -1.747  &         0.081        &       -1.212    &        0.070     \\\\\n",
       "\\textbf{T30}                     &      -1.2934  &        0.327     &    -3.959  &         0.000        &       -1.934    &       -0.653     \\\\\n",
       "\\textbf{T31}                     &      -1.1990  &        0.297     &    -4.043  &         0.000        &       -1.780    &       -0.618     \\\\\n",
       "\\textbf{T32}                     &      -0.2322  &        0.306     &    -0.760  &         0.447        &       -0.831    &        0.367     \\\\\n",
       "\\textbf{T33}                     &      -0.4961  &        0.329     &    -1.508  &         0.132        &       -1.141    &        0.149     \\\\\n",
       "\\textbf{T34}                     &      -0.7513  &        0.290     &    -2.588  &         0.010        &       -1.320    &       -0.182     \\\\\n",
       "\\textbf{T35}                     &      -0.2286  &        0.275     &    -0.832  &         0.405        &       -0.767    &        0.310     \\\\\n",
       "\\textbf{T36}                     &      -1.2114  &        0.290     &    -4.174  &         0.000        &       -1.780    &       -0.642     \\\\\n",
       "\\textbf{T37}                     &      -0.2154  &        0.290     &    -0.742  &         0.458        &       -0.784    &        0.353     \\\\\n",
       "\\textbf{T38}                     &       0.3188  &        0.270     &     1.181  &         0.238        &       -0.210    &        0.848     \\\\\n",
       "\\textbf{T39}                     &      -0.5799  &        0.345     &    -1.680  &         0.093        &       -1.256    &        0.097     \\\\\n",
       "\\textbf{T40}                     &      -0.0214  &        0.335     &    -0.064  &         0.949        &       -0.679    &        0.636     \\\\\n",
       "\\textbf{T41}                     &      -0.2373  &        0.282     &    -0.843  &         0.399        &       -0.789    &        0.315     \\\\\n",
       "\\textbf{T42}                     &      -1.0760  &        0.317     &    -3.389  &         0.001        &       -1.698    &       -0.454     \\\\\n",
       "\\textbf{T43}                     &       0.0257  &        0.291     &     0.089  &         0.929        &       -0.544    &        0.596     \\\\\n",
       "\\textbf{T44}                     &      -0.1298  &        0.230     &    -0.564  &         0.573        &       -0.581    &        0.321     \\\\\n",
       "\\textbf{T45}                     &       0.5406  &        0.283     &     1.912  &         0.056        &       -0.014    &        1.095     \\\\\n",
       "\\textbf{T46}                     &      -0.5734  &        0.273     &    -2.101  &         0.036        &       -1.108    &       -0.038     \\\\\n",
       "\\textbf{T47}                     &      -0.7182  &        0.215     &    -3.347  &         0.001        &       -1.139    &       -0.298     \\\\\n",
       "\\textbf{T48}                     &      -0.0073  &        0.253     &    -0.029  &         0.977        &       -0.504    &        0.489     \\\\\n",
       "\\textbf{T49}                     &      -0.2418  &        0.228     &    -1.058  &         0.290        &       -0.690    &        0.206     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lclc}\n",
       "\\textbf{Omnibus:}       & 191.781 & \\textbf{  Durbin-Watson:     } &    1.898  \\\\\n",
       "\\textbf{Prob(Omnibus):} &   0.000 & \\textbf{  Jarque-Bera (JB):  } &  239.515  \\\\\n",
       "\\textbf{Skew:}          &  -0.134 & \\textbf{  Prob(JB):          } & 9.77e-53  \\\\\n",
       "\\textbf{Kurtosis:}      &   3.390 & \\textbf{  Cond. No.          } & 3.50e+04  \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "%\\caption{OLS Regression Results}\n",
       "\\end{center}\n",
       "\n",
       "Notes: \\newline\n",
       " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
       " [2] The condition number is large, 3.5e+04. This might indicate that there are \\newline\n",
       " strong multicollinearity or other numerical problems."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:     Citations_Received   R-squared:                       0.421\n",
       "Model:                            OLS   Adj. R-squared:                  0.419\n",
       "Method:                 Least Squares   F-statistic:                     265.9\n",
       "Date:                Sat, 28 Sep 2024   Prob (F-statistic):               0.00\n",
       "Time:                        22:25:21   Log-Likelihood:                -14269.\n",
       "No. Observations:               25678   AIC:                         2.868e+04\n",
       "Df Residuals:                   25607   BIC:                         2.926e+04\n",
       "Df Model:                          70                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "=========================================================================================\n",
       "                            coef    std err          t      P>|t|      [0.025      0.975]\n",
       "-----------------------------------------------------------------------------------------\n",
       "Const                     0.8405      0.189      4.455      0.000       0.471       1.210\n",
       "FA_Female                 0.0439      0.006      7.269      0.000       0.032       0.056\n",
       "FA_European              -0.0127      0.007     -1.893      0.058      -0.026       0.000\n",
       "FA_Asian                 -0.0694      0.013     -5.526      0.000      -0.094      -0.045\n",
       "FA_Slavic                -0.0531      0.013     -4.000      0.000      -0.079      -0.027\n",
       "FA_Hispanic/Latino       -0.0328      0.013     -2.483      0.013      -0.059      -0.007\n",
       "FA_African               -0.0718      0.015     -4.872      0.000      -0.101      -0.043\n",
       "FA_Jewish                -0.0738      0.016     -4.577      0.000      -0.105      -0.042\n",
       "FA_Other                 -0.0370      0.016     -2.383      0.017      -0.067      -0.007\n",
       "FA_South                 -0.0019      0.087     -0.022      0.982      -0.172       0.168\n",
       "Mixed_Gender             -0.0032      0.009     -0.371      0.710      -0.020       0.014\n",
       "Cross_Ethnic              0.0244      0.008      2.943      0.003       0.008       0.041\n",
       "Cross_Regional           -0.0768      0.022     -3.511      0.000      -0.120      -0.034\n",
       "International             0.0554      0.010      5.825      0.000       0.037       0.074\n",
       "Cited_Outgroup            0.0493      0.018      2.777      0.005       0.014       0.084\n",
       "Team_Size                 0.0574      0.005     11.005      0.000       0.047       0.068\n",
       "Cited_References          0.0031      0.000     31.084      0.000       0.003       0.003\n",
       "Article_Age               0.0341      0.001     41.836      0.000       0.032       0.036\n",
       "Journal_Prestige          0.0105      0.000     67.952      0.000       0.010       0.011\n",
       "FA_Author_Publication     0.0076      0.001      7.522      0.000       0.006       0.010\n",
       "FA_Author_Reputation      0.0016   6.49e-05     24.180      0.000       0.001       0.002\n",
       "FA_Affliation_Weight      6.2413      1.188      5.255      0.000       3.913       8.569\n",
       "T1                       -1.5574      0.303     -5.138      0.000      -2.152      -0.963\n",
       "T2                       -1.7012      0.310     -5.486      0.000      -2.309      -1.093\n",
       "T3                       -1.6125      0.351     -4.592      0.000      -2.301      -0.924\n",
       "T4                       -0.9779      0.288     -3.396      0.001      -1.542      -0.413\n",
       "T5                       -1.4247      0.326     -4.370      0.000      -2.064      -0.786\n",
       "T6                       -0.7526      0.336     -2.240      0.025      -1.411      -0.094\n",
       "T7                       -1.4261      0.320     -4.457      0.000      -2.053      -0.799\n",
       "T8                       -1.3030      0.272     -4.792      0.000      -1.836      -0.770\n",
       "T9                       -1.0975      0.306     -3.588      0.000      -1.697      -0.498\n",
       "T10                      -1.9029      0.313     -6.072      0.000      -2.517      -1.289\n",
       "T11                      -1.5043      0.313     -4.800      0.000      -2.119      -0.890\n",
       "T12                      -1.2911      0.335     -3.859      0.000      -1.947      -0.635\n",
       "T13                      -0.8754      0.284     -3.082      0.002      -1.432      -0.319\n",
       "T14                      -1.5506      0.315     -4.926      0.000      -2.168      -0.934\n",
       "T15                      -0.0629      0.303     -0.207      0.836      -0.657       0.531\n",
       "T16                      -1.3219      0.277     -4.769      0.000      -1.865      -0.779\n",
       "T17                      -0.3888      0.305     -1.274      0.203      -0.987       0.209\n",
       "T18                      -0.2845      0.294     -0.966      0.334      -0.862       0.293\n",
       "T19                      -0.3741      0.311     -1.205      0.228      -0.983       0.235\n",
       "T20                      -1.4585      0.344     -4.234      0.000      -2.134      -0.783\n",
       "T21                      -0.9582      0.290     -3.309      0.001      -1.526      -0.391\n",
       "T22                      -1.6750      0.317     -5.287      0.000      -2.296      -1.054\n",
       "T23                      -0.2005      0.287     -0.699      0.484      -0.762       0.361\n",
       "T24                      -0.9327      0.299     -3.119      0.002      -1.519      -0.347\n",
       "T25                      -0.9673      0.320     -3.019      0.003      -1.595      -0.339\n",
       "T26                      -0.6840      0.238     -2.880      0.004      -1.150      -0.218\n",
       "T27                      -0.8964      0.325     -2.758      0.006      -1.533      -0.259\n",
       "T28                      -0.3820      0.306     -1.248      0.212      -0.982       0.218\n",
       "T29                      -0.5713      0.327     -1.747      0.081      -1.212       0.070\n",
       "T30                      -1.2934      0.327     -3.959      0.000      -1.934      -0.653\n",
       "T31                      -1.1990      0.297     -4.043      0.000      -1.780      -0.618\n",
       "T32                      -0.2322      0.306     -0.760      0.447      -0.831       0.367\n",
       "T33                      -0.4961      0.329     -1.508      0.132      -1.141       0.149\n",
       "T34                      -0.7513      0.290     -2.588      0.010      -1.320      -0.182\n",
       "T35                      -0.2286      0.275     -0.832      0.405      -0.767       0.310\n",
       "T36                      -1.2114      0.290     -4.174      0.000      -1.780      -0.642\n",
       "T37                      -0.2154      0.290     -0.742      0.458      -0.784       0.353\n",
       "T38                       0.3188      0.270      1.181      0.238      -0.210       0.848\n",
       "T39                      -0.5799      0.345     -1.680      0.093      -1.256       0.097\n",
       "T40                      -0.0214      0.335     -0.064      0.949      -0.679       0.636\n",
       "T41                      -0.2373      0.282     -0.843      0.399      -0.789       0.315\n",
       "T42                      -1.0760      0.317     -3.389      0.001      -1.698      -0.454\n",
       "T43                       0.0257      0.291      0.089      0.929      -0.544       0.596\n",
       "T44                      -0.1298      0.230     -0.564      0.573      -0.581       0.321\n",
       "T45                       0.5406      0.283      1.912      0.056      -0.014       1.095\n",
       "T46                      -0.5734      0.273     -2.101      0.036      -1.108      -0.038\n",
       "T47                      -0.7182      0.215     -3.347      0.001      -1.139      -0.298\n",
       "T48                      -0.0073      0.253     -0.029      0.977      -0.504       0.489\n",
       "T49                      -0.2418      0.228     -1.058      0.290      -0.690       0.206\n",
       "==============================================================================\n",
       "Omnibus:                      191.781   Durbin-Watson:                   1.898\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              239.515\n",
       "Skew:                          -0.134   Prob(JB):                     9.77e-53\n",
       "Kurtosis:                       3.390   Cond. No.                     3.50e+04\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "[2] The condition number is large, 3.5e+04. This might indicate that there are\n",
       "strong multicollinearity or other numerical problems.\n",
       "\"\"\""
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Supplemental Table S7. Heterogenous Effects\n",
    "#Model S4: FA-based Top 100 Institution Model\n",
    "model_S4 = sm.OLS(np.log10(regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top100_Inst'])]['Citations_Received']+1),\n",
    "               regression_table[(~pd.isna(regression_table['FA_Ethnicity']))&(regression_table['Top100_Inst'])][['Const','FA_Female','FA_European', 'FA_Asian', 'FA_Slavic', 'FA_Hispanic/Latino', 'FA_African', 'FA_Jewish','FA_Other','FA_South',\n",
    "                                                                                                                        'Mixed_Gender','Cross_Ethnic','Cross_Regional','International','Cited_Outgroup',\n",
    "                                                                                                                        'Team_Size', 'Cited_References','Article_Age','Journal_Prestige','FA_Author_Publication','FA_Author_Reputation','FA_Affliation_Weight']+['T'+str(i) for i in range(1,50)]],missing='drop')\n",
    "results_S4 = model_S4.fit(maxiter=100)\n",
    "results_S4.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "159f2179-76d3-4612-a74e-c34b5fa08c15",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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